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Finding the Fourth Proportional to 1,442.54, 2,167.27 and 923.56

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Solution

The fourth proportional to 1,442.54, 2,167.27 and 923.56 is: 1,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.54 : 2,167.27 = 923.56 : x
  2. Step 2: Convert to fraction form
    1,442.54/2,167.27 = 923.56/x
  3. Step 3: Cross multiply
    1,442.54x = 2,167.27 × 923.56
  4. Step 4: Simplify right side
    1,442.54x = 2,001,598.46
  5. Step 5: Solve for x
    x = 2,001,598.46/1,442.54
  6. Step 6: Final answer
    x = 1,387.55

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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.