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Finding the Fourth Proportional to 2,064.61, 3,096.96 and 748.47

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Solution

The fourth proportional to 2,064.61, 3,096.96 and 748.47 is: 1,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.61 : 3,096.96 = 748.47 : x
  2. Step 2: Convert to fraction form
    2,064.61/3,096.96 = 748.47/x
  3. Step 3: Cross multiply
    2,064.61x = 3,096.96 × 748.47
  4. Step 4: Simplify right side
    2,064.61x = 2,317,981.65
  5. Step 5: Solve for x
    x = 2,317,981.65/2,064.61
  6. Step 6: Final answer
    x = 1,122.72

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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.