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Finding the Fourth Proportional to 3,129.65, 4,317.03 and 2,067.42

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Solution

The fourth proportional to 3,129.65, 4,317.03 and 2,067.42 is: 2,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.65 : 4,317.03 = 2,067.42 : x
  2. Step 2: Convert to fraction form
    3,129.65/4,317.03 = 2,067.42/x
  3. Step 3: Cross multiply
    3,129.65x = 4,317.03 × 2,067.42
  4. Step 4: Simplify right side
    3,129.65x = 8,925,114.16
  5. Step 5: Solve for x
    x = 8,925,114.16/3,129.65
  6. Step 6: Final answer
    x = 2,851.80

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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.