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Finding the Fourth Proportional to 2,191.68, 3,289.14 and 1,496.70

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Solution

The fourth proportional to 2,191.68, 3,289.14 and 1,496.70 is: 2,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.68 : 3,289.14 = 1,496.70 : x
  2. Step 2: Convert to fraction form
    2,191.68/3,289.14 = 1,496.70/x
  3. Step 3: Cross multiply
    2,191.68x = 3,289.14 × 1,496.70
  4. Step 4: Simplify right side
    2,191.68x = 4,922,855.84
  5. Step 5: Solve for x
    x = 4,922,855.84/2,191.68
  6. Step 6: Final answer
    x = 2,246.16

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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.