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Finding the Fourth Proportional to 2,239.22, 3,357.59 and 922.61

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Solution

The fourth proportional to 2,239.22, 3,357.59 and 922.61 is: 1,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.22 : 3,357.59 = 922.61 : x
  2. Step 2: Convert to fraction form
    2,239.22/3,357.59 = 922.61/x
  3. Step 3: Cross multiply
    2,239.22x = 3,357.59 × 922.61
  4. Step 4: Simplify right side
    2,239.22x = 3,097,724.71
  5. Step 5: Solve for x
    x = 3,097,724.71/2,239.22
  6. Step 6: Final answer
    x = 1,383.40

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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.