Home / 2,422.28-3,632.66-778.46

Finding the Fourth Proportional to 2,422.28, 3,632.66 and 778.46

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Solution

The fourth proportional to 2,422.28, 3,632.66 and 778.46 is: 1,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.28 : 3,632.66 = 778.46 : x
  2. Step 2: Convert to fraction form
    2,422.28/3,632.66 = 778.46/x
  3. Step 3: Cross multiply
    2,422.28x = 3,632.66 × 778.46
  4. Step 4: Simplify right side
    2,422.28x = 2,827,880.50
  5. Step 5: Solve for x
    x = 2,827,880.50/2,422.28
  6. Step 6: Final answer
    x = 1,167.45

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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.