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Finding the Fourth Proportional to 3,043.99, 4,565.75 and 852.63

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Solution

The fourth proportional to 3,043.99, 4,565.75 and 852.63 is: 1,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.99 : 4,565.75 = 852.63 : x
  2. Step 2: Convert to fraction form
    3,043.99/4,565.75 = 852.63/x
  3. Step 3: Cross multiply
    3,043.99x = 4,565.75 × 852.63
  4. Step 4: Simplify right side
    3,043.99x = 3,892,904.52
  5. Step 5: Solve for x
    x = 3,892,904.52/3,043.99
  6. Step 6: Final answer
    x = 1,278.88

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.