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Finding the Fourth Proportional to 2,031.18, 3,046.80 and 935.24

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Solution

The fourth proportional to 2,031.18, 3,046.80 and 935.24 is: 1,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.18 : 3,046.80 = 935.24 : x
  2. Step 2: Convert to fraction form
    2,031.18/3,046.80 = 935.24/x
  3. Step 3: Cross multiply
    2,031.18x = 3,046.80 × 935.24
  4. Step 4: Simplify right side
    2,031.18x = 2,849,489.23
  5. Step 5: Solve for x
    x = 2,849,489.23/2,031.18
  6. Step 6: Final answer
    x = 1,402.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.