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Finding the Fourth Proportional to 2,422.16, 3,632.46 and 778.31

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Solution

The fourth proportional to 2,422.16, 3,632.46 and 778.31 is: 1,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.16 : 3,632.46 = 778.31 : x
  2. Step 2: Convert to fraction form
    2,422.16/3,632.46 = 778.31/x
  3. Step 3: Cross multiply
    2,422.16x = 3,632.46 × 778.31
  4. Step 4: Simplify right side
    2,422.16x = 2,827,179.94
  5. Step 5: Solve for x
    x = 2,827,179.94/2,422.16
  6. Step 6: Final answer
    x = 1,167.21

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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.