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Finding the Fourth Proportional to 1,425.52, 2,135.93 and 876.54

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Solution

The fourth proportional to 1,425.52, 2,135.93 and 876.54 is: 1,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.52 : 2,135.93 = 876.54 : x
  2. Step 2: Convert to fraction form
    1,425.52/2,135.93 = 876.54/x
  3. Step 3: Cross multiply
    1,425.52x = 2,135.93 × 876.54
  4. Step 4: Simplify right side
    1,425.52x = 1,872,223.70
  5. Step 5: Solve for x
    x = 1,872,223.70/1,425.52
  6. Step 6: Final answer
    x = 1,313.36

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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.