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Finding the Fourth Proportional to 1,915.89, 2,871.84 and 1,299.65

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Solution

The fourth proportional to 1,915.89, 2,871.84 and 1,299.65 is: 1,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.89 : 2,871.84 = 1,299.65 : x
  2. Step 2: Convert to fraction form
    1,915.89/2,871.84 = 1,299.65/x
  3. Step 3: Cross multiply
    1,915.89x = 2,871.84 × 1,299.65
  4. Step 4: Simplify right side
    1,915.89x = 3,732,372.50
  5. Step 5: Solve for x
    x = 3,732,372.50/1,915.89
  6. Step 6: Final answer
    x = 1,948.11

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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.