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Finding the Fourth Proportional to 1,737.49, 2,398.08 and 1,207.48

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Solution

The fourth proportional to 1,737.49, 2,398.08 and 1,207.48 is: 1,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.49 : 2,398.08 = 1,207.48 : x
  2. Step 2: Convert to fraction form
    1,737.49/2,398.08 = 1,207.48/x
  3. Step 3: Cross multiply
    1,737.49x = 2,398.08 × 1,207.48
  4. Step 4: Simplify right side
    1,737.49x = 2,895,633.64
  5. Step 5: Solve for x
    x = 2,895,633.64/1,737.49
  6. Step 6: Final answer
    x = 1,666.56

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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.