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Finding the Fourth Proportional to 2,976.70, 4,108 and 1,915.08

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Solution

The fourth proportional to 2,976.70, 4,108 and 1,915.08 is: 2,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.70 : 4,108 = 1,915.08 : x
  2. Step 2: Convert to fraction form
    2,976.70/4,108 = 1,915.08/x
  3. Step 3: Cross multiply
    2,976.70x = 4,108 × 1,915.08
  4. Step 4: Simplify right side
    2,976.70x = 7,867,148.64
  5. Step 5: Solve for x
    x = 7,867,148.64/2,976.70
  6. Step 6: Final answer
    x = 2,642.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.