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Finding the Fourth Proportional to 3,129.86, 4,314.25 and 2,465.84

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Solution

The fourth proportional to 3,129.86, 4,314.25 and 2,465.84 is: 3,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.86 : 4,314.25 = 2,465.84 : x
  2. Step 2: Convert to fraction form
    3,129.86/4,314.25 = 2,465.84/x
  3. Step 3: Cross multiply
    3,129.86x = 4,314.25 × 2,465.84
  4. Step 4: Simplify right side
    3,129.86x = 10,638,250.22
  5. Step 5: Solve for x
    x = 10,638,250.22/3,129.86
  6. Step 6: Final answer
    x = 3,398.95

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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.