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Finding the Fourth Proportional to 1,882.53, 2,615.85 and 1,862.28

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Solution

The fourth proportional to 1,882.53, 2,615.85 and 1,862.28 is: 2,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.53 : 2,615.85 = 1,862.28 : x
  2. Step 2: Convert to fraction form
    1,882.53/2,615.85 = 1,862.28/x
  3. Step 3: Cross multiply
    1,882.53x = 2,615.85 × 1,862.28
  4. Step 4: Simplify right side
    1,882.53x = 4,871,445.14
  5. Step 5: Solve for x
    x = 4,871,445.14/1,882.53
  6. Step 6: Final answer
    x = 2,587.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.