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Finding the Fourth Proportional to 2,969.14, 4,097.34 and 1,642.90

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Solution

The fourth proportional to 2,969.14, 4,097.34 and 1,642.90 is: 2,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.14 : 4,097.34 = 1,642.90 : x
  2. Step 2: Convert to fraction form
    2,969.14/4,097.34 = 1,642.90/x
  3. Step 3: Cross multiply
    2,969.14x = 4,097.34 × 1,642.90
  4. Step 4: Simplify right side
    2,969.14x = 6,731,519.89
  5. Step 5: Solve for x
    x = 6,731,519.89/2,969.14
  6. Step 6: Final answer
    x = 2,267.16

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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.