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Finding the Fourth Proportional to 2,087.70, 3,128.79 and 915.94

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Solution

The fourth proportional to 2,087.70, 3,128.79 and 915.94 is: 1,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.70 : 3,128.79 = 915.94 : x
  2. Step 2: Convert to fraction form
    2,087.70/3,128.79 = 915.94/x
  3. Step 3: Cross multiply
    2,087.70x = 3,128.79 × 915.94
  4. Step 4: Simplify right side
    2,087.70x = 2,865,768.27
  5. Step 5: Solve for x
    x = 2,865,768.27/2,087.70
  6. Step 6: Final answer
    x = 1,372.69

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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.