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Finding the Fourth Proportional to 1,515.24, 2,272.36 and 489

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Solution

The fourth proportional to 1,515.24, 2,272.36 and 489 is: 733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.24 : 2,272.36 = 489 : x
  2. Step 2: Convert to fraction form
    1,515.24/2,272.36 = 489/x
  3. Step 3: Cross multiply
    1,515.24x = 2,272.36 × 489
  4. Step 4: Simplify right side
    1,515.24x = 1,111,184.04
  5. Step 5: Solve for x
    x = 1,111,184.04/1,515.24
  6. Step 6: Final answer
    x = 733.34

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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.