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Finding the Fourth Proportional to 1,652.22, 2,478.76 and 727.96

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Solution

The fourth proportional to 1,652.22, 2,478.76 and 727.96 is: 1,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.22 : 2,478.76 = 727.96 : x
  2. Step 2: Convert to fraction form
    1,652.22/2,478.76 = 727.96/x
  3. Step 3: Cross multiply
    1,652.22x = 2,478.76 × 727.96
  4. Step 4: Simplify right side
    1,652.22x = 1,804,438.13
  5. Step 5: Solve for x
    x = 1,804,438.13/1,652.22
  6. Step 6: Final answer
    x = 1,092.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.