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Finding the Fourth Proportional to 1,729.80, 2,593.38 and 864.72

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Solution

The fourth proportional to 1,729.80, 2,593.38 and 864.72 is: 1,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.80 : 2,593.38 = 864.72 : x
  2. Step 2: Convert to fraction form
    1,729.80/2,593.38 = 864.72/x
  3. Step 3: Cross multiply
    1,729.80x = 2,593.38 × 864.72
  4. Step 4: Simplify right side
    1,729.80x = 2,242,547.55
  5. Step 5: Solve for x
    x = 2,242,547.55/1,729.80
  6. Step 6: Final answer
    x = 1,296.42

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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.