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Finding the Fourth Proportional to 1,617.12, 2,424.38 and 794.88

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Solution

The fourth proportional to 1,617.12, 2,424.38 and 794.88 is: 1,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.12 : 2,424.38 = 794.88 : x
  2. Step 2: Convert to fraction form
    1,617.12/2,424.38 = 794.88/x
  3. Step 3: Cross multiply
    1,617.12x = 2,424.38 × 794.88
  4. Step 4: Simplify right side
    1,617.12x = 1,927,087.20
  5. Step 5: Solve for x
    x = 1,927,087.20/1,617.12
  6. Step 6: Final answer
    x = 1,191.68

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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.