Home / 1,760.19-2,429.22-974.49

Finding the Fourth Proportional to 1,760.19, 2,429.22 and 974.49

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Solution

The fourth proportional to 1,760.19, 2,429.22 and 974.49 is: 1,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.19 : 2,429.22 = 974.49 : x
  2. Step 2: Convert to fraction form
    1,760.19/2,429.22 = 974.49/x
  3. Step 3: Cross multiply
    1,760.19x = 2,429.22 × 974.49
  4. Step 4: Simplify right side
    1,760.19x = 2,367,250.60
  5. Step 5: Solve for x
    x = 2,367,250.60/1,760.19
  6. Step 6: Final answer
    x = 1,344.88

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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.