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Finding the Fourth Proportional to 2,020.34, 3,031.12 and 925.63

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Solution

The fourth proportional to 2,020.34, 3,031.12 and 925.63 is: 1,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.34 : 3,031.12 = 925.63 : x
  2. Step 2: Convert to fraction form
    2,020.34/3,031.12 = 925.63/x
  3. Step 3: Cross multiply
    2,020.34x = 3,031.12 × 925.63
  4. Step 4: Simplify right side
    2,020.34x = 2,805,689.18
  5. Step 5: Solve for x
    x = 2,805,689.18/2,020.34
  6. Step 6: Final answer
    x = 1,388.72

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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.