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Finding the Fourth Proportional to 1,568.11, 2,161.03 and 1,357.63

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Solution

The fourth proportional to 1,568.11, 2,161.03 and 1,357.63 is: 1,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.11 : 2,161.03 = 1,357.63 : x
  2. Step 2: Convert to fraction form
    1,568.11/2,161.03 = 1,357.63/x
  3. Step 3: Cross multiply
    1,568.11x = 2,161.03 × 1,357.63
  4. Step 4: Simplify right side
    1,568.11x = 2,933,879.16
  5. Step 5: Solve for x
    x = 2,933,879.16/1,568.11
  6. Step 6: Final answer
    x = 1,870.97

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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.