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Finding the Fourth Proportional to 1,568.78, 2,164.82 and 870.15

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Solution

The fourth proportional to 1,568.78, 2,164.82 and 870.15 is: 1,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.78 : 2,164.82 = 870.15 : x
  2. Step 2: Convert to fraction form
    1,568.78/2,164.82 = 870.15/x
  3. Step 3: Cross multiply
    1,568.78x = 2,164.82 × 870.15
  4. Step 4: Simplify right side
    1,568.78x = 1,883,713.77
  5. Step 5: Solve for x
    x = 1,883,713.77/1,568.78
  6. Step 6: Final answer
    x = 1,200.75

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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.