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Finding the Fourth Proportional to 3,043.30, 4,565.08 and 852.16

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Solution

The fourth proportional to 3,043.30, 4,565.08 and 852.16 is: 1,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.30 : 4,565.08 = 852.16 : x
  2. Step 2: Convert to fraction form
    3,043.30/4,565.08 = 852.16/x
  3. Step 3: Cross multiply
    3,043.30x = 4,565.08 × 852.16
  4. Step 4: Simplify right side
    3,043.30x = 3,890,178.57
  5. Step 5: Solve for x
    x = 3,890,178.57/3,043.30
  6. Step 6: Final answer
    x = 1,278.28

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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.