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Finding the Fourth Proportional to 2,809.41, 3,876.15 and 1,813.78

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Solution

The fourth proportional to 2,809.41, 3,876.15 and 1,813.78 is: 2,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.41 : 3,876.15 = 1,813.78 : x
  2. Step 2: Convert to fraction form
    2,809.41/3,876.15 = 1,813.78/x
  3. Step 3: Cross multiply
    2,809.41x = 3,876.15 × 1,813.78
  4. Step 4: Simplify right side
    2,809.41x = 7,030,483.35
  5. Step 5: Solve for x
    x = 7,030,483.35/2,809.41
  6. Step 6: Final answer
    x = 2,502.48

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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.