Home / 2,197.50-3,295.04-964.28

Finding the Fourth Proportional to 2,197.50, 3,295.04 and 964.28

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Solution

The fourth proportional to 2,197.50, 3,295.04 and 964.28 is: 1,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.50 : 3,295.04 = 964.28 : x
  2. Step 2: Convert to fraction form
    2,197.50/3,295.04 = 964.28/x
  3. Step 3: Cross multiply
    2,197.50x = 3,295.04 × 964.28
  4. Step 4: Simplify right side
    2,197.50x = 3,177,341.17
  5. Step 5: Solve for x
    x = 3,177,341.17/2,197.50
  6. Step 6: Final answer
    x = 1,445.89

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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.