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Finding the Fourth Proportional to 1,882.41, 2,820.89 and 1,335.66

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Solution

The fourth proportional to 1,882.41, 2,820.89 and 1,335.66 is: 2,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.41 : 2,820.89 = 1,335.66 : x
  2. Step 2: Convert to fraction form
    1,882.41/2,820.89 = 1,335.66/x
  3. Step 3: Cross multiply
    1,882.41x = 2,820.89 × 1,335.66
  4. Step 4: Simplify right side
    1,882.41x = 3,767,743.26
  5. Step 5: Solve for x
    x = 3,767,743.26/1,882.41
  6. Step 6: Final answer
    x = 2,001.55

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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.