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Finding the Fourth Proportional to 2,013.59, 3,034.13 and 1,656.38

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Solution

The fourth proportional to 2,013.59, 3,034.13 and 1,656.38 is: 2,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.59 : 3,034.13 = 1,656.38 : x
  2. Step 2: Convert to fraction form
    2,013.59/3,034.13 = 1,656.38/x
  3. Step 3: Cross multiply
    2,013.59x = 3,034.13 × 1,656.38
  4. Step 4: Simplify right side
    2,013.59x = 5,025,672.25
  5. Step 5: Solve for x
    x = 5,025,672.25/2,013.59
  6. Step 6: Final answer
    x = 2,495.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.