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Finding the Fourth Proportional to 1,568.57, 2,350.42 and 1,221.08

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Solution

The fourth proportional to 1,568.57, 2,350.42 and 1,221.08 is: 1,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.57 : 2,350.42 = 1,221.08 : x
  2. Step 2: Convert to fraction form
    1,568.57/2,350.42 = 1,221.08/x
  3. Step 3: Cross multiply
    1,568.57x = 2,350.42 × 1,221.08
  4. Step 4: Simplify right side
    1,568.57x = 2,870,036.05
  5. Step 5: Solve for x
    x = 2,870,036.05/1,568.57
  6. Step 6: Final answer
    x = 1,829.72

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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.