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Finding the Fourth Proportional to 3,288.69, 4,932.30 and 948.17

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Solution

The fourth proportional to 3,288.69, 4,932.30 and 948.17 is: 1,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.69 : 4,932.30 = 948.17 : x
  2. Step 2: Convert to fraction form
    3,288.69/4,932.30 = 948.17/x
  3. Step 3: Cross multiply
    3,288.69x = 4,932.30 × 948.17
  4. Step 4: Simplify right side
    3,288.69x = 4,676,658.89
  5. Step 5: Solve for x
    x = 4,676,658.89/3,288.69
  6. Step 6: Final answer
    x = 1,422.05

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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.