Home / 1,517.49-2,276.96-824.13

Finding the Fourth Proportional to 1,517.49, 2,276.96 and 824.13

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Solution

The fourth proportional to 1,517.49, 2,276.96 and 824.13 is: 1,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.49 : 2,276.96 = 824.13 : x
  2. Step 2: Convert to fraction form
    1,517.49/2,276.96 = 824.13/x
  3. Step 3: Cross multiply
    1,517.49x = 2,276.96 × 824.13
  4. Step 4: Simplify right side
    1,517.49x = 1,876,506.92
  5. Step 5: Solve for x
    x = 1,876,506.92/1,517.49
  6. Step 6: Final answer
    x = 1,236.59

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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.