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Finding the Fourth Proportional to 2,145.02, 3,216.71 and 758.10

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Solution

The fourth proportional to 2,145.02, 3,216.71 and 758.10 is: 1,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.02 : 3,216.71 = 758.10 : x
  2. Step 2: Convert to fraction form
    2,145.02/3,216.71 = 758.10/x
  3. Step 3: Cross multiply
    2,145.02x = 3,216.71 × 758.10
  4. Step 4: Simplify right side
    2,145.02x = 2,438,584.06
  5. Step 5: Solve for x
    x = 2,438,584.06/2,145.02
  6. Step 6: Final answer
    x = 1,136.86

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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.