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Finding the Fourth Proportional to 3,143.76, 4,718.16 and 1,846.32

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Solution

The fourth proportional to 3,143.76, 4,718.16 and 1,846.32 is: 2,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.76 : 4,718.16 = 1,846.32 : x
  2. Step 2: Convert to fraction form
    3,143.76/4,718.16 = 1,846.32/x
  3. Step 3: Cross multiply
    3,143.76x = 4,718.16 × 1,846.32
  4. Step 4: Simplify right side
    3,143.76x = 8,711,233.17
  5. Step 5: Solve for x
    x = 8,711,233.17/3,143.76
  6. Step 6: Final answer
    x = 2,770.96

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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.