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Finding the Fourth Proportional to 3,104.71, 4,657.55 and 1,461.43

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Solution

The fourth proportional to 3,104.71, 4,657.55 and 1,461.43 is: 2,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.71 : 4,657.55 = 1,461.43 : x
  2. Step 2: Convert to fraction form
    3,104.71/4,657.55 = 1,461.43/x
  3. Step 3: Cross multiply
    3,104.71x = 4,657.55 × 1,461.43
  4. Step 4: Simplify right side
    3,104.71x = 6,806,683.30
  5. Step 5: Solve for x
    x = 6,806,683.30/3,104.71
  6. Step 6: Final answer
    x = 2,192.37

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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.