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Finding the Fourth Proportional to 2,515.70, 3,773.55 and 2,142.03

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Solution

The fourth proportional to 2,515.70, 3,773.55 and 2,142.03 is: 3,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.70 : 3,773.55 = 2,142.03 : x
  2. Step 2: Convert to fraction form
    2,515.70/3,773.55 = 2,142.03/x
  3. Step 3: Cross multiply
    2,515.70x = 3,773.55 × 2,142.03
  4. Step 4: Simplify right side
    2,515.70x = 8,083,071.46
  5. Step 5: Solve for x
    x = 8,083,071.46/2,515.70
  6. Step 6: Final answer
    x = 3,213.05

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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.