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Finding the Fourth Proportional to 2,969.24, 4,097.54 and 1,642.87

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Solution

The fourth proportional to 2,969.24, 4,097.54 and 1,642.87 is: 2,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.24 : 4,097.54 = 1,642.87 : x
  2. Step 2: Convert to fraction form
    2,969.24/4,097.54 = 1,642.87/x
  3. Step 3: Cross multiply
    2,969.24x = 4,097.54 × 1,642.87
  4. Step 4: Simplify right side
    2,969.24x = 6,731,696.84
  5. Step 5: Solve for x
    x = 6,731,696.84/2,969.24
  6. Step 6: Final answer
    x = 2,267.14

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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.