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Finding the Fourth Proportional to 1,521.82, 2,282.74 and 426.18

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Solution

The fourth proportional to 1,521.82, 2,282.74 and 426.18 is: 639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.82 : 2,282.74 = 426.18 : x
  2. Step 2: Convert to fraction form
    1,521.82/2,282.74 = 426.18/x
  3. Step 3: Cross multiply
    1,521.82x = 2,282.74 × 426.18
  4. Step 4: Simplify right side
    1,521.82x = 972,858.13
  5. Step 5: Solve for x
    x = 972,858.13/1,521.82
  6. Step 6: Final answer
    x = 639.27

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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.