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Finding the Fourth Proportional to 2,001.68, 2,741.62 and 1,883.60

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Solution

The fourth proportional to 2,001.68, 2,741.62 and 1,883.60 is: 2,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.68 : 2,741.62 = 1,883.60 : x
  2. Step 2: Convert to fraction form
    2,001.68/2,741.62 = 1,883.60/x
  3. Step 3: Cross multiply
    2,001.68x = 2,741.62 × 1,883.60
  4. Step 4: Simplify right side
    2,001.68x = 5,164,115.43
  5. Step 5: Solve for x
    x = 5,164,115.43/2,001.68
  6. Step 6: Final answer
    x = 2,579.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.