Home / 2,207.50-3,311.28-974.63

Finding the Fourth Proportional to 2,207.50, 3,311.28 and 974.63

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Solution

The fourth proportional to 2,207.50, 3,311.28 and 974.63 is: 1,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.50 : 3,311.28 = 974.63 : x
  2. Step 2: Convert to fraction form
    2,207.50/3,311.28 = 974.63/x
  3. Step 3: Cross multiply
    2,207.50x = 3,311.28 × 974.63
  4. Step 4: Simplify right side
    2,207.50x = 3,227,281.10
  5. Step 5: Solve for x
    x = 3,227,281.10/2,207.50
  6. Step 6: Final answer
    x = 1,461.96

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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.