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Finding the Fourth Proportional to 2,502.63, 3,753 and 1,114.61

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Solution

The fourth proportional to 2,502.63, 3,753 and 1,114.61 is: 1,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.63 : 3,753 = 1,114.61 : x
  2. Step 2: Convert to fraction form
    2,502.63/3,753 = 1,114.61/x
  3. Step 3: Cross multiply
    2,502.63x = 3,753 × 1,114.61
  4. Step 4: Simplify right side
    2,502.63x = 4,183,112.57
  5. Step 5: Solve for x
    x = 4,183,112.57/2,502.63
  6. Step 6: Final answer
    x = 1,671.49

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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.