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Finding the Fourth Proportional to 1,617.29, 2,231.79 and 909.12

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Solution

The fourth proportional to 1,617.29, 2,231.79 and 909.12 is: 1,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.29 : 2,231.79 = 909.12 : x
  2. Step 2: Convert to fraction form
    1,617.29/2,231.79 = 909.12/x
  3. Step 3: Cross multiply
    1,617.29x = 2,231.79 × 909.12
  4. Step 4: Simplify right side
    1,617.29x = 2,028,964.92
  5. Step 5: Solve for x
    x = 2,028,964.92/1,617.29
  6. Step 6: Final answer
    x = 1,254.55

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1.5x scale

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.