Home / 1,524.34-2,103.65-927.23

Finding the Fourth Proportional to 1,524.34, 2,103.65 and 927.23

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Solution

The fourth proportional to 1,524.34, 2,103.65 and 927.23 is: 1,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.34 : 2,103.65 = 927.23 : x
  2. Step 2: Convert to fraction form
    1,524.34/2,103.65 = 927.23/x
  3. Step 3: Cross multiply
    1,524.34x = 2,103.65 × 927.23
  4. Step 4: Simplify right side
    1,524.34x = 1,950,562.75
  5. Step 5: Solve for x
    x = 1,950,562.75/1,524.34
  6. Step 6: Final answer
    x = 1,279.62

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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.