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Finding the Fourth Proportional to 2,808.20, 3,875.16 and 1,549.25

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Solution

The fourth proportional to 2,808.20, 3,875.16 and 1,549.25 is: 2,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.20 : 3,875.16 = 1,549.25 : x
  2. Step 2: Convert to fraction form
    2,808.20/3,875.16 = 1,549.25/x
  3. Step 3: Cross multiply
    2,808.20x = 3,875.16 × 1,549.25
  4. Step 4: Simplify right side
    2,808.20x = 6,003,591.63
  5. Step 5: Solve for x
    x = 6,003,591.63/2,808.20
  6. Step 6: Final answer
    x = 2,137.88

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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.