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Finding the Fourth Proportional to 2,881.95, 3,977.60 and 2,259.87

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Solution

The fourth proportional to 2,881.95, 3,977.60 and 2,259.87 is: 3,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.95 : 3,977.60 = 2,259.87 : x
  2. Step 2: Convert to fraction form
    2,881.95/3,977.60 = 2,259.87/x
  3. Step 3: Cross multiply
    2,881.95x = 3,977.60 × 2,259.87
  4. Step 4: Simplify right side
    2,881.95x = 8,988,844.67
  5. Step 5: Solve for x
    x = 8,988,844.67/2,881.95
  6. Step 6: Final answer
    x = 3,119.02

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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.