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Finding the Fourth Proportional to 2,142.74, 3,213.90 and 1,520.69

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Solution

The fourth proportional to 2,142.74, 3,213.90 and 1,520.69 is: 2,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.74 : 3,213.90 = 1,520.69 : x
  2. Step 2: Convert to fraction form
    2,142.74/3,213.90 = 1,520.69/x
  3. Step 3: Cross multiply
    2,142.74x = 3,213.90 × 1,520.69
  4. Step 4: Simplify right side
    2,142.74x = 4,887,345.59
  5. Step 5: Solve for x
    x = 4,887,345.59/2,142.74
  6. Step 6: Final answer
    x = 2,280.89

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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.