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Finding the Fourth Proportional to 1,638.02, 2,456.33 and 760.39

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Solution

The fourth proportional to 1,638.02, 2,456.33 and 760.39 is: 1,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.02 : 2,456.33 = 760.39 : x
  2. Step 2: Convert to fraction form
    1,638.02/2,456.33 = 760.39/x
  3. Step 3: Cross multiply
    1,638.02x = 2,456.33 × 760.39
  4. Step 4: Simplify right side
    1,638.02x = 1,867,758.83
  5. Step 5: Solve for x
    x = 1,867,758.83/1,638.02
  6. Step 6: Final answer
    x = 1,140.25

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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.