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Finding the Fourth Proportional to 2,502.04, 3,753.04 and 1,021.87

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Solution

The fourth proportional to 2,502.04, 3,753.04 and 1,021.87 is: 1,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.04 : 3,753.04 = 1,021.87 : x
  2. Step 2: Convert to fraction form
    2,502.04/3,753.04 = 1,021.87/x
  3. Step 3: Cross multiply
    2,502.04x = 3,753.04 × 1,021.87
  4. Step 4: Simplify right side
    2,502.04x = 3,835,118.98
  5. Step 5: Solve for x
    x = 3,835,118.98/2,502.04
  6. Step 6: Final answer
    x = 1,532.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.