Home / 1,523.41-2,102.31-824.78

Finding the Fourth Proportional to 1,523.41, 2,102.31 and 824.78

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Solution

The fourth proportional to 1,523.41, 2,102.31 and 824.78 is: 1,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.41 : 2,102.31 = 824.78 : x
  2. Step 2: Convert to fraction form
    1,523.41/2,102.31 = 824.78/x
  3. Step 3: Cross multiply
    1,523.41x = 2,102.31 × 824.78
  4. Step 4: Simplify right side
    1,523.41x = 1,733,943.24
  5. Step 5: Solve for x
    x = 1,733,943.24/1,523.41
  6. Step 6: Final answer
    x = 1,138.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.