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Finding the Fourth Proportional to 2,191.68, 3,284.80 and 1,035.20

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Solution

The fourth proportional to 2,191.68, 3,284.80 and 1,035.20 is: 1,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.68 : 3,284.80 = 1,035.20 : x
  2. Step 2: Convert to fraction form
    2,191.68/3,284.80 = 1,035.20/x
  3. Step 3: Cross multiply
    2,191.68x = 3,284.80 × 1,035.20
  4. Step 4: Simplify right side
    2,191.68x = 3,400,424.96
  5. Step 5: Solve for x
    x = 3,400,424.96/2,191.68
  6. Step 6: Final answer
    x = 1,551.52

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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.