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Finding the Fourth Proportional to 2,877.68, 3,970.77 and 1,618.68

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Solution

The fourth proportional to 2,877.68, 3,970.77 and 1,618.68 is: 2,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.68 : 3,970.77 = 1,618.68 : x
  2. Step 2: Convert to fraction form
    2,877.68/3,970.77 = 1,618.68/x
  3. Step 3: Cross multiply
    2,877.68x = 3,970.77 × 1,618.68
  4. Step 4: Simplify right side
    2,877.68x = 6,427,423.91
  5. Step 5: Solve for x
    x = 6,427,423.91/2,877.68
  6. Step 6: Final answer
    x = 2,233.55

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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.