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Finding the Fourth Proportional to 1,874.31, 2,807.21 and 1,502.82

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Solution

The fourth proportional to 1,874.31, 2,807.21 and 1,502.82 is: 2,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.31 : 2,807.21 = 1,502.82 : x
  2. Step 2: Convert to fraction form
    1,874.31/2,807.21 = 1,502.82/x
  3. Step 3: Cross multiply
    1,874.31x = 2,807.21 × 1,502.82
  4. Step 4: Simplify right side
    1,874.31x = 4,218,726.64
  5. Step 5: Solve for x
    x = 4,218,726.64/1,874.31
  6. Step 6: Final answer
    x = 2,250.82

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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.