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Finding the Fourth Proportional to 2,144.74, 3,216.98 and 758.10

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Solution

The fourth proportional to 2,144.74, 3,216.98 and 758.10 is: 1,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.74 : 3,216.98 = 758.10 : x
  2. Step 2: Convert to fraction form
    2,144.74/3,216.98 = 758.10/x
  3. Step 3: Cross multiply
    2,144.74x = 3,216.98 × 758.10
  4. Step 4: Simplify right side
    2,144.74x = 2,438,792.54
  5. Step 5: Solve for x
    x = 2,438,792.54/2,144.74
  6. Step 6: Final answer
    x = 1,137.10

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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.