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Finding the Fourth Proportional to 2,583.49, 3,565.19 and 1,404.56

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Solution

The fourth proportional to 2,583.49, 3,565.19 and 1,404.56 is: 1,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.49 : 3,565.19 = 1,404.56 : x
  2. Step 2: Convert to fraction form
    2,583.49/3,565.19 = 1,404.56/x
  3. Step 3: Cross multiply
    2,583.49x = 3,565.19 × 1,404.56
  4. Step 4: Simplify right side
    2,583.49x = 5,007,517.61
  5. Step 5: Solve for x
    x = 5,007,517.61/2,583.49
  6. Step 6: Final answer
    x = 1,938.28

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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.