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Finding the Fourth Proportional to 1,652.25, 2,478.68 and 1,346.82

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Solution

The fourth proportional to 1,652.25, 2,478.68 and 1,346.82 is: 2,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.25 : 2,478.68 = 1,346.82 : x
  2. Step 2: Convert to fraction form
    1,652.25/2,478.68 = 1,346.82/x
  3. Step 3: Cross multiply
    1,652.25x = 2,478.68 × 1,346.82
  4. Step 4: Simplify right side
    1,652.25x = 3,338,335.80
  5. Step 5: Solve for x
    x = 3,338,335.80/1,652.25
  6. Step 6: Final answer
    x = 2,020.48

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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.