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Finding the Fourth Proportional to 2,775.84, 4,177.68 and 2,086.08

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Solution

The fourth proportional to 2,775.84, 4,177.68 and 2,086.08 is: 3,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.84 : 4,177.68 = 2,086.08 : x
  2. Step 2: Convert to fraction form
    2,775.84/4,177.68 = 2,086.08/x
  3. Step 3: Cross multiply
    2,775.84x = 4,177.68 × 2,086.08
  4. Step 4: Simplify right side
    2,775.84x = 8,714,974.69
  5. Step 5: Solve for x
    x = 8,714,974.69/2,775.84
  6. Step 6: Final answer
    x = 3,139.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.