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Finding the Fourth Proportional to 2,969.26, 4,097.40 and 1,642.89

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Solution

The fourth proportional to 2,969.26, 4,097.40 and 1,642.89 is: 2,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.26 : 4,097.40 = 1,642.89 : x
  2. Step 2: Convert to fraction form
    2,969.26/4,097.40 = 1,642.89/x
  3. Step 3: Cross multiply
    2,969.26x = 4,097.40 × 1,642.89
  4. Step 4: Simplify right side
    2,969.26x = 6,731,587.73
  5. Step 5: Solve for x
    x = 6,731,587.73/2,969.26
  6. Step 6: Final answer
    x = 2,267.10

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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.