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Finding the Fourth Proportional to 2,053.38, 3,078.72 and 884.10

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Solution

The fourth proportional to 2,053.38, 3,078.72 and 884.10 is: 1,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.38 : 3,078.72 = 884.10 : x
  2. Step 2: Convert to fraction form
    2,053.38/3,078.72 = 884.10/x
  3. Step 3: Cross multiply
    2,053.38x = 3,078.72 × 884.10
  4. Step 4: Simplify right side
    2,053.38x = 2,721,896.35
  5. Step 5: Solve for x
    x = 2,721,896.35/2,053.38
  6. Step 6: Final answer
    x = 1,325.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.