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Finding the Fourth Proportional to 2,141.92, 3,214.05 and 1,491.40

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Solution

The fourth proportional to 2,141.92, 3,214.05 and 1,491.40 is: 2,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.92 : 3,214.05 = 1,491.40 : x
  2. Step 2: Convert to fraction form
    2,141.92/3,214.05 = 1,491.40/x
  3. Step 3: Cross multiply
    2,141.92x = 3,214.05 × 1,491.40
  4. Step 4: Simplify right side
    2,141.92x = 4,793,434.17
  5. Step 5: Solve for x
    x = 4,793,434.17/2,141.92
  6. Step 6: Final answer
    x = 2,237.91

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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.