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Finding the Fourth Proportional to 3,131.40, 4,320.86 and 1,734.14

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Solution

The fourth proportional to 3,131.40, 4,320.86 and 1,734.14 is: 2,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.40 : 4,320.86 = 1,734.14 : x
  2. Step 2: Convert to fraction form
    3,131.40/4,320.86 = 1,734.14/x
  3. Step 3: Cross multiply
    3,131.40x = 4,320.86 × 1,734.14
  4. Step 4: Simplify right side
    3,131.40x = 7,492,976.16
  5. Step 5: Solve for x
    x = 7,492,976.16/3,131.40
  6. Step 6: Final answer
    x = 2,392.85

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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.