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Finding the Fourth Proportional to 2,930.57, 4,387.23 and 1,831.61

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Solution

The fourth proportional to 2,930.57, 4,387.23 and 1,831.61 is: 2,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.57 : 4,387.23 = 1,831.61 : x
  2. Step 2: Convert to fraction form
    2,930.57/4,387.23 = 1,831.61/x
  3. Step 3: Cross multiply
    2,930.57x = 4,387.23 × 1,831.61
  4. Step 4: Simplify right side
    2,930.57x = 8,035,672.40
  5. Step 5: Solve for x
    x = 8,035,672.40/2,930.57
  6. Step 6: Final answer
    x = 2,742.02

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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.