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Finding the Fourth Proportional to 2,316.72, 3,470.20 and 1,691.61

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Solution

The fourth proportional to 2,316.72, 3,470.20 and 1,691.61 is: 2,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.72 : 3,470.20 = 1,691.61 : x
  2. Step 2: Convert to fraction form
    2,316.72/3,470.20 = 1,691.61/x
  3. Step 3: Cross multiply
    2,316.72x = 3,470.20 × 1,691.61
  4. Step 4: Simplify right side
    2,316.72x = 5,870,225.02
  5. Step 5: Solve for x
    x = 5,870,225.02/2,316.72
  6. Step 6: Final answer
    x = 2,533.85

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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.