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Finding the Fourth Proportional to 1,568.85, 2,165.73 and 1,065.33

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Solution

The fourth proportional to 1,568.85, 2,165.73 and 1,065.33 is: 1,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.85 : 2,165.73 = 1,065.33 : x
  2. Step 2: Convert to fraction form
    1,568.85/2,165.73 = 1,065.33/x
  3. Step 3: Cross multiply
    1,568.85x = 2,165.73 × 1,065.33
  4. Step 4: Simplify right side
    1,568.85x = 2,307,217.14
  5. Step 5: Solve for x
    x = 2,307,217.14/1,568.85
  6. Step 6: Final answer
    x = 1,470.64

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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.