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Finding the Fourth Proportional to 2,583.40, 3,565.04 and 1,404.50

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Solution

The fourth proportional to 2,583.40, 3,565.04 and 1,404.50 is: 1,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.40 : 3,565.04 = 1,404.50 : x
  2. Step 2: Convert to fraction form
    2,583.40/3,565.04 = 1,404.50/x
  3. Step 3: Cross multiply
    2,583.40x = 3,565.04 × 1,404.50
  4. Step 4: Simplify right side
    2,583.40x = 5,007,098.68
  5. Step 5: Solve for x
    x = 5,007,098.68/2,583.40
  6. Step 6: Final answer
    x = 1,938.18

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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.