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Finding the Fourth Proportional to 3,129.68, 4,319.07 and 2,135.41

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Solution

The fourth proportional to 3,129.68, 4,319.07 and 2,135.41 is: 2,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.68 : 4,319.07 = 2,135.41 : x
  2. Step 2: Convert to fraction form
    3,129.68/4,319.07 = 2,135.41/x
  3. Step 3: Cross multiply
    3,129.68x = 4,319.07 × 2,135.41
  4. Step 4: Simplify right side
    3,129.68x = 9,222,985.27
  5. Step 5: Solve for x
    x = 9,222,985.27/3,129.68
  6. Step 6: Final answer
    x = 2,946.94

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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.