Home / 1,446.10-2,167.41-830.23

Finding the Fourth Proportional to 1,446.10, 2,167.41 and 830.23

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Solution

The fourth proportional to 1,446.10, 2,167.41 and 830.23 is: 1,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.10 : 2,167.41 = 830.23 : x
  2. Step 2: Convert to fraction form
    1,446.10/2,167.41 = 830.23/x
  3. Step 3: Cross multiply
    1,446.10x = 2,167.41 × 830.23
  4. Step 4: Simplify right side
    1,446.10x = 1,799,448.80
  5. Step 5: Solve for x
    x = 1,799,448.80/1,446.10
  6. Step 6: Final answer
    x = 1,244.35

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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.