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Finding the Fourth Proportional to 2,080.96, 2,864.64 and 1,895.20

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Solution

The fourth proportional to 2,080.96, 2,864.64 and 1,895.20 is: 2,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.96 : 2,864.64 = 1,895.20 : x
  2. Step 2: Convert to fraction form
    2,080.96/2,864.64 = 1,895.20/x
  3. Step 3: Cross multiply
    2,080.96x = 2,864.64 × 1,895.20
  4. Step 4: Simplify right side
    2,080.96x = 5,429,065.73
  5. Step 5: Solve for x
    x = 5,429,065.73/2,080.96
  6. Step 6: Final answer
    x = 2,608.92

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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.