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Finding the Fourth Proportional to 2,764.74, 4,146.75 and 915.87

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Solution

The fourth proportional to 2,764.74, 4,146.75 and 915.87 is: 1,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.74 : 4,146.75 = 915.87 : x
  2. Step 2: Convert to fraction form
    2,764.74/4,146.75 = 915.87/x
  3. Step 3: Cross multiply
    2,764.74x = 4,146.75 × 915.87
  4. Step 4: Simplify right side
    2,764.74x = 3,797,883.92
  5. Step 5: Solve for x
    x = 3,797,883.92/2,764.74
  6. Step 6: Final answer
    x = 1,373.69

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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.