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Finding the Fourth Proportional to 2,001.93, 2,756.94 and 1,959

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Solution

The fourth proportional to 2,001.93, 2,756.94 and 1,959 is: 2,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.93 : 2,756.94 = 1,959 : x
  2. Step 2: Convert to fraction form
    2,001.93/2,756.94 = 1,959/x
  3. Step 3: Cross multiply
    2,001.93x = 2,756.94 × 1,959
  4. Step 4: Simplify right side
    2,001.93x = 5,400,845.46
  5. Step 5: Solve for x
    x = 5,400,845.46/2,001.93
  6. Step 6: Final answer
    x = 2,697.82

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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.