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Finding the Fourth Proportional to 1,515.80, 2,273.90 and 682.85

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Solution

The fourth proportional to 1,515.80, 2,273.90 and 682.85 is: 1,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.80 : 2,273.90 = 682.85 : x
  2. Step 2: Convert to fraction form
    1,515.80/2,273.90 = 682.85/x
  3. Step 3: Cross multiply
    1,515.80x = 2,273.90 × 682.85
  4. Step 4: Simplify right side
    1,515.80x = 1,552,717.83
  5. Step 5: Solve for x
    x = 1,552,717.83/1,515.80
  6. Step 6: Final answer
    x = 1,024.36

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1.5x scale

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.