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Finding the Fourth Proportional to 1,882.72, 2,598.15 and 1,031.97

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Solution

The fourth proportional to 1,882.72, 2,598.15 and 1,031.97 is: 1,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.72 : 2,598.15 = 1,031.97 : x
  2. Step 2: Convert to fraction form
    1,882.72/2,598.15 = 1,031.97/x
  3. Step 3: Cross multiply
    1,882.72x = 2,598.15 × 1,031.97
  4. Step 4: Simplify right side
    1,882.72x = 2,681,216.76
  5. Step 5: Solve for x
    x = 2,681,216.76/1,882.72
  6. Step 6: Final answer
    x = 1,424.12

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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.