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Finding the Fourth Proportional to 1,217.58, 1,681.07 and 937.32

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Solution

The fourth proportional to 1,217.58, 1,681.07 and 937.32 is: 1,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.58 : 1,681.07 = 937.32 : x
  2. Step 2: Convert to fraction form
    1,217.58/1,681.07 = 937.32/x
  3. Step 3: Cross multiply
    1,217.58x = 1,681.07 × 937.32
  4. Step 4: Simplify right side
    1,217.58x = 1,575,689.54
  5. Step 5: Solve for x
    x = 1,575,689.54/1,217.58
  6. Step 6: Final answer
    x = 1,294.12

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