Home / 1,515.04-2,273.22-822.20

Finding the Fourth Proportional to 1,515.04, 2,273.22 and 822.20

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Solution

The fourth proportional to 1,515.04, 2,273.22 and 822.20 is: 1,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.04 : 2,273.22 = 822.20 : x
  2. Step 2: Convert to fraction form
    1,515.04/2,273.22 = 822.20/x
  3. Step 3: Cross multiply
    1,515.04x = 2,273.22 × 822.20
  4. Step 4: Simplify right side
    1,515.04x = 1,869,041.48
  5. Step 5: Solve for x
    x = 1,869,041.48/1,515.04
  6. Step 6: Final answer
    x = 1,233.66

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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.