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Finding the Fourth Proportional to 1,568.42, 2,164.34 and 869.75

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Solution

The fourth proportional to 1,568.42, 2,164.34 and 869.75 is: 1,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.42 : 2,164.34 = 869.75 : x
  2. Step 2: Convert to fraction form
    1,568.42/2,164.34 = 869.75/x
  3. Step 3: Cross multiply
    1,568.42x = 2,164.34 × 869.75
  4. Step 4: Simplify right side
    1,568.42x = 1,882,430.37
  5. Step 5: Solve for x
    x = 1,882,430.37/1,568.42
  6. Step 6: Final answer
    x = 1,200.21

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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.