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Finding the Fourth Proportional to 3,143.76, 4,716.36 and 1,411.44

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Solution

The fourth proportional to 3,143.76, 4,716.36 and 1,411.44 is: 2,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.76 : 4,716.36 = 1,411.44 : x
  2. Step 2: Convert to fraction form
    3,143.76/4,716.36 = 1,411.44/x
  3. Step 3: Cross multiply
    3,143.76x = 4,716.36 × 1,411.44
  4. Step 4: Simplify right side
    3,143.76x = 6,656,859.16
  5. Step 5: Solve for x
    x = 6,656,859.16/3,143.76
  6. Step 6: Final answer
    x = 2,117.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.