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Finding the Fourth Proportional to 3,007.12, 4,149.53 and 1,748.14

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Solution

The fourth proportional to 3,007.12, 4,149.53 and 1,748.14 is: 2,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.12 : 4,149.53 = 1,748.14 : x
  2. Step 2: Convert to fraction form
    3,007.12/4,149.53 = 1,748.14/x
  3. Step 3: Cross multiply
    3,007.12x = 4,149.53 × 1,748.14
  4. Step 4: Simplify right side
    3,007.12x = 7,253,959.37
  5. Step 5: Solve for x
    x = 7,253,959.37/3,007.12
  6. Step 6: Final answer
    x = 2,412.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.