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Finding the Fourth Proportional to 1,737.86, 2,398.25 and 951.91

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Solution

The fourth proportional to 1,737.86, 2,398.25 and 951.91 is: 1,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.86 : 2,398.25 = 951.91 : x
  2. Step 2: Convert to fraction form
    1,737.86/2,398.25 = 951.91/x
  3. Step 3: Cross multiply
    1,737.86x = 2,398.25 × 951.91
  4. Step 4: Simplify right side
    1,737.86x = 2,282,918.16
  5. Step 5: Solve for x
    x = 2,282,918.16/1,737.86
  6. Step 6: Final answer
    x = 1,313.64

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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.