Home / 1,601.20-2,209.93-972.26

Finding the Fourth Proportional to 1,601.20, 2,209.93 and 972.26

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Solution

The fourth proportional to 1,601.20, 2,209.93 and 972.26 is: 1,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.20 : 2,209.93 = 972.26 : x
  2. Step 2: Convert to fraction form
    1,601.20/2,209.93 = 972.26/x
  3. Step 3: Cross multiply
    1,601.20x = 2,209.93 × 972.26
  4. Step 4: Simplify right side
    1,601.20x = 2,148,613.06
  5. Step 5: Solve for x
    x = 2,148,613.06/1,601.20
  6. Step 6: Final answer
    x = 1,341.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.