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Finding the Fourth Proportional to 3,129.44, 4,317.64 and 1,949.52

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Solution

The fourth proportional to 3,129.44, 4,317.64 and 1,949.52 is: 2,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.44 : 4,317.64 = 1,949.52 : x
  2. Step 2: Convert to fraction form
    3,129.44/4,317.64 = 1,949.52/x
  3. Step 3: Cross multiply
    3,129.44x = 4,317.64 × 1,949.52
  4. Step 4: Simplify right side
    3,129.44x = 8,417,325.53
  5. Step 5: Solve for x
    x = 8,417,325.53/3,129.44
  6. Step 6: Final answer
    x = 2,689.72

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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.