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Finding the Fourth Proportional to 2,565.75, 3,540.95 and 1,446.63

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Solution

The fourth proportional to 2,565.75, 3,540.95 and 1,446.63 is: 1,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.75 : 3,540.95 = 1,446.63 : x
  2. Step 2: Convert to fraction form
    2,565.75/3,540.95 = 1,446.63/x
  3. Step 3: Cross multiply
    2,565.75x = 3,540.95 × 1,446.63
  4. Step 4: Simplify right side
    2,565.75x = 5,122,444.50
  5. Step 5: Solve for x
    x = 5,122,444.50/2,565.75
  6. Step 6: Final answer
    x = 1,996.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.