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Finding the Fourth Proportional to 3,071.10, 4,238.14 and 1,744.88

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Solution

The fourth proportional to 3,071.10, 4,238.14 and 1,744.88 is: 2,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.10 : 4,238.14 = 1,744.88 : x
  2. Step 2: Convert to fraction form
    3,071.10/4,238.14 = 1,744.88/x
  3. Step 3: Cross multiply
    3,071.10x = 4,238.14 × 1,744.88
  4. Step 4: Simplify right side
    3,071.10x = 7,395,041.36
  5. Step 5: Solve for x
    x = 7,395,041.36/3,071.10
  6. Step 6: Final answer
    x = 2,407.94

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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.