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Finding the Fourth Proportional to 1,567.70, 2,162.10 and 1,268.81

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Solution

The fourth proportional to 1,567.70, 2,162.10 and 1,268.81 is: 1,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.70 : 2,162.10 = 1,268.81 : x
  2. Step 2: Convert to fraction form
    1,567.70/2,162.10 = 1,268.81/x
  3. Step 3: Cross multiply
    1,567.70x = 2,162.10 × 1,268.81
  4. Step 4: Simplify right side
    1,567.70x = 2,743,294.10
  5. Step 5: Solve for x
    x = 2,743,294.10/1,567.70
  6. Step 6: Final answer
    x = 1,749.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.