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Finding the Fourth Proportional to 1,232.62, 1,848.92 and 308.17

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Solution

The fourth proportional to 1,232.62, 1,848.92 and 308.17 is: 462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.62 : 1,848.92 = 308.17 : x
  2. Step 2: Convert to fraction form
    1,232.62/1,848.92 = 308.17/x
  3. Step 3: Cross multiply
    1,232.62x = 1,848.92 × 308.17
  4. Step 4: Simplify right side
    1,232.62x = 569,775.51
  5. Step 5: Solve for x
    x = 569,775.51/1,232.62
  6. Step 6: Final answer
    x = 462.25

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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.