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Finding the Fourth Proportional to 2,008.55, 3,013.74 and 1,034.73

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Solution

The fourth proportional to 2,008.55, 3,013.74 and 1,034.73 is: 1,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.55 : 3,013.74 = 1,034.73 : x
  2. Step 2: Convert to fraction form
    2,008.55/3,013.74 = 1,034.73/x
  3. Step 3: Cross multiply
    2,008.55x = 3,013.74 × 1,034.73
  4. Step 4: Simplify right side
    2,008.55x = 3,118,407.19
  5. Step 5: Solve for x
    x = 3,118,407.19/2,008.55
  6. Step 6: Final answer
    x = 1,552.56

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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.