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Finding the Fourth Proportional to 2,813.20, 4,218.95 and 865.35

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Solution

The fourth proportional to 2,813.20, 4,218.95 and 865.35 is: 1,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.20 : 4,218.95 = 865.35 : x
  2. Step 2: Convert to fraction form
    2,813.20/4,218.95 = 865.35/x
  3. Step 3: Cross multiply
    2,813.20x = 4,218.95 × 865.35
  4. Step 4: Simplify right side
    2,813.20x = 3,650,870.55
  5. Step 5: Solve for x
    x = 3,650,870.55/2,813.20
  6. Step 6: Final answer
    x = 1,297.77

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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.