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Finding the Fourth Proportional to 1,874.40, 2,809.17 and 1,257.18

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Solution

The fourth proportional to 1,874.40, 2,809.17 and 1,257.18 is: 1,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.40 : 2,809.17 = 1,257.18 : x
  2. Step 2: Convert to fraction form
    1,874.40/2,809.17 = 1,257.18/x
  3. Step 3: Cross multiply
    1,874.40x = 2,809.17 × 1,257.18
  4. Step 4: Simplify right side
    1,874.40x = 3,531,632.34
  5. Step 5: Solve for x
    x = 3,531,632.34/1,874.40
  6. Step 6: Final answer
    x = 1,884.14

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