Home / 2,281.08-3,419.90-966.37

Finding the Fourth Proportional to 2,281.08, 3,419.90 and 966.37

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Solution

The fourth proportional to 2,281.08, 3,419.90 and 966.37 is: 1,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.08 : 3,419.90 = 966.37 : x
  2. Step 2: Convert to fraction form
    2,281.08/3,419.90 = 966.37/x
  3. Step 3: Cross multiply
    2,281.08x = 3,419.90 × 966.37
  4. Step 4: Simplify right side
    2,281.08x = 3,304,888.76
  5. Step 5: Solve for x
    x = 3,304,888.76/2,281.08
  6. Step 6: Final answer
    x = 1,448.83

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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.