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Finding the Fourth Proportional to 2,831.90, 4,242.98 and 2,248.70

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Solution

The fourth proportional to 2,831.90, 4,242.98 and 2,248.70 is: 3,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.90 : 4,242.98 = 2,248.70 : x
  2. Step 2: Convert to fraction form
    2,831.90/4,242.98 = 2,248.70/x
  3. Step 3: Cross multiply
    2,831.90x = 4,242.98 × 2,248.70
  4. Step 4: Simplify right side
    2,831.90x = 9,541,173.53
  5. Step 5: Solve for x
    x = 9,541,173.53/2,831.90
  6. Step 6: Final answer
    x = 3,369.18

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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.