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Finding the Fourth Proportional to 1,732.35, 2,390.85 and 1,172.85

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Solution

The fourth proportional to 1,732.35, 2,390.85 and 1,172.85 is: 1,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.35 : 2,390.85 = 1,172.85 : x
  2. Step 2: Convert to fraction form
    1,732.35/2,390.85 = 1,172.85/x
  3. Step 3: Cross multiply
    1,732.35x = 2,390.85 × 1,172.85
  4. Step 4: Simplify right side
    1,732.35x = 2,804,099.46
  5. Step 5: Solve for x
    x = 2,804,099.46/1,732.35
  6. Step 6: Final answer
    x = 1,618.66

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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.