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Finding the Fourth Proportional to 2,968.84, 4,097.03 and 1,642.59

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Solution

The fourth proportional to 2,968.84, 4,097.03 and 1,642.59 is: 2,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.84 : 4,097.03 = 1,642.59 : x
  2. Step 2: Convert to fraction form
    2,968.84/4,097.03 = 1,642.59/x
  3. Step 3: Cross multiply
    2,968.84x = 4,097.03 × 1,642.59
  4. Step 4: Simplify right side
    2,968.84x = 6,729,740.51
  5. Step 5: Solve for x
    x = 6,729,740.51/2,968.84
  6. Step 6: Final answer
    x = 2,266.79

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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.