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Finding the Fourth Proportional to 3,271.68, 4,894.02 and 2,099.88

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Solution

The fourth proportional to 3,271.68, 4,894.02 and 2,099.88 is: 3,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.68 : 4,894.02 = 2,099.88 : x
  2. Step 2: Convert to fraction form
    3,271.68/4,894.02 = 2,099.88/x
  3. Step 3: Cross multiply
    3,271.68x = 4,894.02 × 2,099.88
  4. Step 4: Simplify right side
    3,271.68x = 10,276,854.72
  5. Step 5: Solve for x
    x = 10,276,854.72/3,271.68
  6. Step 6: Final answer
    x = 3,141.16

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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.