Home / 1,591.04-2,387.28-822.08

Finding the Fourth Proportional to 1,591.04, 2,387.28 and 822.08

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Solution

The fourth proportional to 1,591.04, 2,387.28 and 822.08 is: 1,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.04 : 2,387.28 = 822.08 : x
  2. Step 2: Convert to fraction form
    1,591.04/2,387.28 = 822.08/x
  3. Step 3: Cross multiply
    1,591.04x = 2,387.28 × 822.08
  4. Step 4: Simplify right side
    1,591.04x = 1,962,535.14
  5. Step 5: Solve for x
    x = 1,962,535.14/1,591.04
  6. Step 6: Final answer
    x = 1,233.49

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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.