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Finding the Fourth Proportional to 1,568.68, 2,164.35 and 979.31

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Solution

The fourth proportional to 1,568.68, 2,164.35 and 979.31 is: 1,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.68 : 2,164.35 = 979.31 : x
  2. Step 2: Convert to fraction form
    1,568.68/2,164.35 = 979.31/x
  3. Step 3: Cross multiply
    1,568.68x = 2,164.35 × 979.31
  4. Step 4: Simplify right side
    1,568.68x = 2,119,569.60
  5. Step 5: Solve for x
    x = 2,119,569.60/1,568.68
  6. Step 6: Final answer
    x = 1,351.18

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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.