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Finding the Fourth Proportional to 2,521.54, 3,782.30 and 766.54

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Solution

The fourth proportional to 2,521.54, 3,782.30 and 766.54 is: 1,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.54 : 3,782.30 = 766.54 : x
  2. Step 2: Convert to fraction form
    2,521.54/3,782.30 = 766.54/x
  3. Step 3: Cross multiply
    2,521.54x = 3,782.30 × 766.54
  4. Step 4: Simplify right side
    2,521.54x = 2,899,284.24
  5. Step 5: Solve for x
    x = 2,899,284.24/2,521.54
  6. Step 6: Final answer
    x = 1,149.81

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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.