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Finding the Fourth Proportional to 1,568.71, 2,164.89 and 870.04

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Solution

The fourth proportional to 1,568.71, 2,164.89 and 870.04 is: 1,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.71 : 2,164.89 = 870.04 : x
  2. Step 2: Convert to fraction form
    1,568.71/2,164.89 = 870.04/x
  3. Step 3: Cross multiply
    1,568.71x = 2,164.89 × 870.04
  4. Step 4: Simplify right side
    1,568.71x = 1,883,540.90
  5. Step 5: Solve for x
    x = 1,883,540.90/1,568.71
  6. Step 6: Final answer
    x = 1,200.69

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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.