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Finding the Fourth Proportional to 2,901.92, 4,349.90 and 1,514.52

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Solution

The fourth proportional to 2,901.92, 4,349.90 and 1,514.52 is: 2,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.92 : 4,349.90 = 1,514.52 : x
  2. Step 2: Convert to fraction form
    2,901.92/4,349.90 = 1,514.52/x
  3. Step 3: Cross multiply
    2,901.92x = 4,349.90 × 1,514.52
  4. Step 4: Simplify right side
    2,901.92x = 6,588,010.55
  5. Step 5: Solve for x
    x = 6,588,010.55/2,901.92
  6. Step 6: Final answer
    x = 2,270.22

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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.