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Finding the Fourth Proportional to 2,968.88, 4,097.25 and 1,642.91

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Solution

The fourth proportional to 2,968.88, 4,097.25 and 1,642.91 is: 2,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.88 : 4,097.25 = 1,642.91 : x
  2. Step 2: Convert to fraction form
    2,968.88/4,097.25 = 1,642.91/x
  3. Step 3: Cross multiply
    2,968.88x = 4,097.25 × 1,642.91
  4. Step 4: Simplify right side
    2,968.88x = 6,731,392.51
  5. Step 5: Solve for x
    x = 6,731,392.51/2,968.88
  6. Step 6: Final answer
    x = 2,267.32

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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.