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Finding the Fourth Proportional to 2,868.60, 3,958.84 and 1,610.07

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Solution

The fourth proportional to 2,868.60, 3,958.84 and 1,610.07 is: 2,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.60 : 3,958.84 = 1,610.07 : x
  2. Step 2: Convert to fraction form
    2,868.60/3,958.84 = 1,610.07/x
  3. Step 3: Cross multiply
    2,868.60x = 3,958.84 × 1,610.07
  4. Step 4: Simplify right side
    2,868.60x = 6,374,009.52
  5. Step 5: Solve for x
    x = 6,374,009.52/2,868.60
  6. Step 6: Final answer
    x = 2,221.99

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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.