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Finding the Fourth Proportional to 1,659.68, 2,285.64 and 1,654.55

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Solution

The fourth proportional to 1,659.68, 2,285.64 and 1,654.55 is: 2,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.68 : 2,285.64 = 1,654.55 : x
  2. Step 2: Convert to fraction form
    1,659.68/2,285.64 = 1,654.55/x
  3. Step 3: Cross multiply
    1,659.68x = 2,285.64 × 1,654.55
  4. Step 4: Simplify right side
    1,659.68x = 3,781,705.66
  5. Step 5: Solve for x
    x = 3,781,705.66/1,659.68
  6. Step 6: Final answer
    x = 2,278.58

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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.