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Finding the Fourth Proportional to 1,568.45, 2,164.64 and 979.04

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Solution

The fourth proportional to 1,568.45, 2,164.64 and 979.04 is: 1,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.45 : 2,164.64 = 979.04 : x
  2. Step 2: Convert to fraction form
    1,568.45/2,164.64 = 979.04/x
  3. Step 3: Cross multiply
    1,568.45x = 2,164.64 × 979.04
  4. Step 4: Simplify right side
    1,568.45x = 2,119,269.66
  5. Step 5: Solve for x
    x = 2,119,269.66/1,568.45
  6. Step 6: Final answer
    x = 1,351.19

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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.