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Finding the Fourth Proportional to 2,191.39, 3,283.98 and 956.21

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Solution

The fourth proportional to 2,191.39, 3,283.98 and 956.21 is: 1,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.39 : 3,283.98 = 956.21 : x
  2. Step 2: Convert to fraction form
    2,191.39/3,283.98 = 956.21/x
  3. Step 3: Cross multiply
    2,191.39x = 3,283.98 × 956.21
  4. Step 4: Simplify right side
    2,191.39x = 3,140,154.51
  5. Step 5: Solve for x
    x = 3,140,154.51/2,191.39
  6. Step 6: Final answer
    x = 1,432.95

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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.