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Finding the Fourth Proportional to 1,568.82, 2,164.97 and 870.20

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Solution

The fourth proportional to 1,568.82, 2,164.97 and 870.20 is: 1,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.82 : 2,164.97 = 870.20 : x
  2. Step 2: Convert to fraction form
    1,568.82/2,164.97 = 870.20/x
  3. Step 3: Cross multiply
    1,568.82x = 2,164.97 × 870.20
  4. Step 4: Simplify right side
    1,568.82x = 1,883,941.72
  5. Step 5: Solve for x
    x = 1,883,941.72/1,568.82
  6. Step 6: Final answer
    x = 1,200.87

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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.