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Finding the Fourth Proportional to 2,242.32, 3,363.90 and 1,009.70

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Solution

The fourth proportional to 2,242.32, 3,363.90 and 1,009.70 is: 1,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.32 : 3,363.90 = 1,009.70 : x
  2. Step 2: Convert to fraction form
    2,242.32/3,363.90 = 1,009.70/x
  3. Step 3: Cross multiply
    2,242.32x = 3,363.90 × 1,009.70
  4. Step 4: Simplify right side
    2,242.32x = 3,396,529.83
  5. Step 5: Solve for x
    x = 3,396,529.83/2,242.32
  6. Step 6: Final answer
    x = 1,514.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.