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Finding the Fourth Proportional to 2,521.78, 3,782.67 and 766.78

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Solution

The fourth proportional to 2,521.78, 3,782.67 and 766.78 is: 1,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.78 : 3,782.67 = 766.78 : x
  2. Step 2: Convert to fraction form
    2,521.78/3,782.67 = 766.78/x
  3. Step 3: Cross multiply
    2,521.78x = 3,782.67 × 766.78
  4. Step 4: Simplify right side
    2,521.78x = 2,900,475.70
  5. Step 5: Solve for x
    x = 2,900,475.70/2,521.78
  6. Step 6: Final answer
    x = 1,150.17

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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.