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Finding the Fourth Proportional to 2,068.24, 2,854.08 and 1,282.08

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Solution

The fourth proportional to 2,068.24, 2,854.08 and 1,282.08 is: 1,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.24 : 2,854.08 = 1,282.08 : x
  2. Step 2: Convert to fraction form
    2,068.24/2,854.08 = 1,282.08/x
  3. Step 3: Cross multiply
    2,068.24x = 2,854.08 × 1,282.08
  4. Step 4: Simplify right side
    2,068.24x = 3,659,158.89
  5. Step 5: Solve for x
    x = 3,659,158.89/2,068.24
  6. Step 6: Final answer
    x = 1,769.21

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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.