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Finding the Fourth Proportional to 2,160.16, 3,239.08 and 772.73

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Solution

The fourth proportional to 2,160.16, 3,239.08 and 772.73 is: 1,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.16 : 3,239.08 = 772.73 : x
  2. Step 2: Convert to fraction form
    2,160.16/3,239.08 = 772.73/x
  3. Step 3: Cross multiply
    2,160.16x = 3,239.08 × 772.73
  4. Step 4: Simplify right side
    2,160.16x = 2,502,940.45
  5. Step 5: Solve for x
    x = 2,502,940.45/2,160.16
  6. Step 6: Final answer
    x = 1,158.68

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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.