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Finding the Fourth Proportional to 2,281.47, 3,141.53 and 1,949.16

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Solution

The fourth proportional to 2,281.47, 3,141.53 and 1,949.16 is: 2,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.47 : 3,141.53 = 1,949.16 : x
  2. Step 2: Convert to fraction form
    2,281.47/3,141.53 = 1,949.16/x
  3. Step 3: Cross multiply
    2,281.47x = 3,141.53 × 1,949.16
  4. Step 4: Simplify right side
    2,281.47x = 6,123,364.92
  5. Step 5: Solve for x
    x = 6,123,364.92/2,281.47
  6. Step 6: Final answer
    x = 2,683.96

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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.