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Finding the Fourth Proportional to 2,813.36, 4,219.77 and 865.58

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Solution

The fourth proportional to 2,813.36, 4,219.77 and 865.58 is: 1,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.36 : 4,219.77 = 865.58 : x
  2. Step 2: Convert to fraction form
    2,813.36/4,219.77 = 865.58/x
  3. Step 3: Cross multiply
    2,813.36x = 4,219.77 × 865.58
  4. Step 4: Simplify right side
    2,813.36x = 3,652,548.52
  5. Step 5: Solve for x
    x = 3,652,548.52/2,813.36
  6. Step 6: Final answer
    x = 1,298.29

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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.