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Finding the Fourth Proportional to 2,877.62, 3,970.91 and 1,618.81

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Solution

The fourth proportional to 2,877.62, 3,970.91 and 1,618.81 is: 2,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.62 : 3,970.91 = 1,618.81 : x
  2. Step 2: Convert to fraction form
    2,877.62/3,970.91 = 1,618.81/x
  3. Step 3: Cross multiply
    2,877.62x = 3,970.91 × 1,618.81
  4. Step 4: Simplify right side
    2,877.62x = 6,428,142.94
  5. Step 5: Solve for x
    x = 6,428,142.94/2,877.62
  6. Step 6: Final answer
    x = 2,233.84

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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.