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Finding the Fourth Proportional to 2,020.67, 3,031.35 and 925.14

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Solution

The fourth proportional to 2,020.67, 3,031.35 and 925.14 is: 1,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.67 : 3,031.35 = 925.14 : x
  2. Step 2: Convert to fraction form
    2,020.67/3,031.35 = 925.14/x
  3. Step 3: Cross multiply
    2,020.67x = 3,031.35 × 925.14
  4. Step 4: Simplify right side
    2,020.67x = 2,804,423.14
  5. Step 5: Solve for x
    x = 2,804,423.14/2,020.67
  6. Step 6: Final answer
    x = 1,387.87

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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.