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Finding the Fourth Proportional to 2,711.68, 4,046.74 and 2,420.08

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Solution

The fourth proportional to 2,711.68, 4,046.74 and 2,420.08 is: 3,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.68 : 4,046.74 = 2,420.08 : x
  2. Step 2: Convert to fraction form
    2,711.68/4,046.74 = 2,420.08/x
  3. Step 3: Cross multiply
    2,711.68x = 4,046.74 × 2,420.08
  4. Step 4: Simplify right side
    2,711.68x = 9,793,434.54
  5. Step 5: Solve for x
    x = 9,793,434.54/2,711.68
  6. Step 6: Final answer
    x = 3,611.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.