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Finding the Fourth Proportional to 1,521.52, 2,098.85 and 961.77

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Solution

The fourth proportional to 1,521.52, 2,098.85 and 961.77 is: 1,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.52 : 2,098.85 = 961.77 : x
  2. Step 2: Convert to fraction form
    1,521.52/2,098.85 = 961.77/x
  3. Step 3: Cross multiply
    1,521.52x = 2,098.85 × 961.77
  4. Step 4: Simplify right side
    1,521.52x = 2,018,614.03
  5. Step 5: Solve for x
    x = 2,018,614.03/1,521.52
  6. Step 6: Final answer
    x = 1,326.71

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