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Finding the Fourth Proportional to 2,165.80, 2,989.92 and 1,657.66

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Solution

The fourth proportional to 2,165.80, 2,989.92 and 1,657.66 is: 2,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.80 : 2,989.92 = 1,657.66 : x
  2. Step 2: Convert to fraction form
    2,165.80/2,989.92 = 1,657.66/x
  3. Step 3: Cross multiply
    2,165.80x = 2,989.92 × 1,657.66
  4. Step 4: Simplify right side
    2,165.80x = 4,956,270.79
  5. Step 5: Solve for x
    x = 4,956,270.79/2,165.80
  6. Step 6: Final answer
    x = 2,288.42

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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.