Home / 2,291.30-3,437.29-830.11

Finding the Fourth Proportional to 2,291.30, 3,437.29 and 830.11

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Solution

The fourth proportional to 2,291.30, 3,437.29 and 830.11 is: 1,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.30 : 3,437.29 = 830.11 : x
  2. Step 2: Convert to fraction form
    2,291.30/3,437.29 = 830.11/x
  3. Step 3: Cross multiply
    2,291.30x = 3,437.29 × 830.11
  4. Step 4: Simplify right side
    2,291.30x = 2,853,324.65
  5. Step 5: Solve for x
    x = 2,853,324.65/2,291.30
  6. Step 6: Final answer
    x = 1,245.29

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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.