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Finding the Fourth Proportional to 2,102.81, 2,895.48 and 1,660.55

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Solution

The fourth proportional to 2,102.81, 2,895.48 and 1,660.55 is: 2,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.81 : 2,895.48 = 1,660.55 : x
  2. Step 2: Convert to fraction form
    2,102.81/2,895.48 = 1,660.55/x
  3. Step 3: Cross multiply
    2,102.81x = 2,895.48 × 1,660.55
  4. Step 4: Simplify right side
    2,102.81x = 4,808,089.31
  5. Step 5: Solve for x
    x = 4,808,089.31/2,102.81
  6. Step 6: Final answer
    x = 2,286.51

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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.