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Finding the Fourth Proportional to 2,188.82, 3,284.68 and 956.28

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Solution

The fourth proportional to 2,188.82, 3,284.68 and 956.28 is: 1,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.82 : 3,284.68 = 956.28 : x
  2. Step 2: Convert to fraction form
    2,188.82/3,284.68 = 956.28/x
  3. Step 3: Cross multiply
    2,188.82x = 3,284.68 × 956.28
  4. Step 4: Simplify right side
    2,188.82x = 3,141,073.79
  5. Step 5: Solve for x
    x = 3,141,073.79/2,188.82
  6. Step 6: Final answer
    x = 1,435.05

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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.