Home / 1,446.29-2,160.65-922.12

Finding the Fourth Proportional to 1,446.29, 2,160.65 and 922.12

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Solution

The fourth proportional to 1,446.29, 2,160.65 and 922.12 is: 1,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.29 : 2,160.65 = 922.12 : x
  2. Step 2: Convert to fraction form
    1,446.29/2,160.65 = 922.12/x
  3. Step 3: Cross multiply
    1,446.29x = 2,160.65 × 922.12
  4. Step 4: Simplify right side
    1,446.29x = 1,992,378.58
  5. Step 5: Solve for x
    x = 1,992,378.58/1,446.29
  6. Step 6: Final answer
    x = 1,377.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.