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Finding the Fourth Proportional to 3,045.92, 4,568.20 and 854.87

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Solution

The fourth proportional to 3,045.92, 4,568.20 and 854.87 is: 1,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.92 : 4,568.20 = 854.87 : x
  2. Step 2: Convert to fraction form
    3,045.92/4,568.20 = 854.87/x
  3. Step 3: Cross multiply
    3,045.92x = 4,568.20 × 854.87
  4. Step 4: Simplify right side
    3,045.92x = 3,905,192.16
  5. Step 5: Solve for x
    x = 3,905,192.16/3,045.92
  6. Step 6: Final answer
    x = 1,282.11

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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.