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Finding the Fourth Proportional to 2,889.50, 4,334.90 and 915.25

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Solution

The fourth proportional to 2,889.50, 4,334.90 and 915.25 is: 1,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.50 : 4,334.90 = 915.25 : x
  2. Step 2: Convert to fraction form
    2,889.50/4,334.90 = 915.25/x
  3. Step 3: Cross multiply
    2,889.50x = 4,334.90 × 915.25
  4. Step 4: Simplify right side
    2,889.50x = 3,967,508.68
  5. Step 5: Solve for x
    x = 3,967,508.68/2,889.50
  6. Step 6: Final answer
    x = 1,373.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.