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Finding the Fourth Proportional to 2,642.82, 3,646.11 and 2,037.33

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Solution

The fourth proportional to 2,642.82, 3,646.11 and 2,037.33 is: 2,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.82 : 3,646.11 = 2,037.33 : x
  2. Step 2: Convert to fraction form
    2,642.82/3,646.11 = 2,037.33/x
  3. Step 3: Cross multiply
    2,642.82x = 3,646.11 × 2,037.33
  4. Step 4: Simplify right side
    2,642.82x = 7,428,329.29
  5. Step 5: Solve for x
    x = 7,428,329.29/2,642.82
  6. Step 6: Final answer
    x = 2,810.76

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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.