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Finding the Fourth Proportional to 2,068.65, 2,854.26 and 1,282.32

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Solution

The fourth proportional to 2,068.65, 2,854.26 and 1,282.32 is: 1,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.65 : 2,854.26 = 1,282.32 : x
  2. Step 2: Convert to fraction form
    2,068.65/2,854.26 = 1,282.32/x
  3. Step 3: Cross multiply
    2,068.65x = 2,854.26 × 1,282.32
  4. Step 4: Simplify right side
    2,068.65x = 3,660,074.68
  5. Step 5: Solve for x
    x = 3,660,074.68/2,068.65
  6. Step 6: Final answer
    x = 1,769.31

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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.