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Finding the Fourth Proportional to 1,711.85, 2,362.34 and 925.90

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Solution

The fourth proportional to 1,711.85, 2,362.34 and 925.90 is: 1,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.85 : 2,362.34 = 925.90 : x
  2. Step 2: Convert to fraction form
    1,711.85/2,362.34 = 925.90/x
  3. Step 3: Cross multiply
    1,711.85x = 2,362.34 × 925.90
  4. Step 4: Simplify right side
    1,711.85x = 2,187,290.61
  5. Step 5: Solve for x
    x = 2,187,290.61/1,711.85
  6. Step 6: Final answer
    x = 1,277.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.