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Finding the Fourth Proportional to 2,102, 2,895.52 and 1,965.92

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Solution

The fourth proportional to 2,102, 2,895.52 and 1,965.92 is: 2,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102 : 2,895.52 = 1,965.92 : x
  2. Step 2: Convert to fraction form
    2,102/2,895.52 = 1,965.92/x
  3. Step 3: Cross multiply
    2,102x = 2,895.52 × 1,965.92
  4. Step 4: Simplify right side
    2,102x = 5,692,360.68
  5. Step 5: Solve for x
    x = 5,692,360.68/2,102
  6. Step 6: Final answer
    x = 2,708.07

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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.