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Finding the Fourth Proportional to 2,732.17, 4,094.13 and 2,035.57

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Solution

The fourth proportional to 2,732.17, 4,094.13 and 2,035.57 is: 3,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.17 : 4,094.13 = 2,035.57 : x
  2. Step 2: Convert to fraction form
    2,732.17/4,094.13 = 2,035.57/x
  3. Step 3: Cross multiply
    2,732.17x = 4,094.13 × 2,035.57
  4. Step 4: Simplify right side
    2,732.17x = 8,333,888.20
  5. Step 5: Solve for x
    x = 8,333,888.20/2,732.17
  6. Step 6: Final answer
    x = 3,050.28

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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.