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Finding the Fourth Proportional to 2,008.63, 3,013.62 and 1,034.47

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Solution

The fourth proportional to 2,008.63, 3,013.62 and 1,034.47 is: 1,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.63 : 3,013.62 = 1,034.47 : x
  2. Step 2: Convert to fraction form
    2,008.63/3,013.62 = 1,034.47/x
  3. Step 3: Cross multiply
    2,008.63x = 3,013.62 × 1,034.47
  4. Step 4: Simplify right side
    2,008.63x = 3,117,499.48
  5. Step 5: Solve for x
    x = 3,117,499.48/2,008.63
  6. Step 6: Final answer
    x = 1,552.05

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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.