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Finding the Fourth Proportional to 1,737.69, 2,605.10 and 1,188.51

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Solution

The fourth proportional to 1,737.69, 2,605.10 and 1,188.51 is: 1,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.69 : 2,605.10 = 1,188.51 : x
  2. Step 2: Convert to fraction form
    1,737.69/2,605.10 = 1,188.51/x
  3. Step 3: Cross multiply
    1,737.69x = 2,605.10 × 1,188.51
  4. Step 4: Simplify right side
    1,737.69x = 3,096,181.46
  5. Step 5: Solve for x
    x = 3,096,181.46/1,737.69
  6. Step 6: Final answer
    x = 1,781.78

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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.