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Finding the Fourth Proportional to 2,191.68, 3,286.80 and 1,412.52

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Solution

The fourth proportional to 2,191.68, 3,286.80 and 1,412.52 is: 2,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.68 : 3,286.80 = 1,412.52 : x
  2. Step 2: Convert to fraction form
    2,191.68/3,286.80 = 1,412.52/x
  3. Step 3: Cross multiply
    2,191.68x = 3,286.80 × 1,412.52
  4. Step 4: Simplify right side
    2,191.68x = 4,642,670.74
  5. Step 5: Solve for x
    x = 4,642,670.74/2,191.68
  6. Step 6: Final answer
    x = 2,118.32

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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.