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Finding the Fourth Proportional to 3,275.69, 4,522 and 2,097.44

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Solution

The fourth proportional to 3,275.69, 4,522 and 2,097.44 is: 2,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.69 : 4,522 = 2,097.44 : x
  2. Step 2: Convert to fraction form
    3,275.69/4,522 = 2,097.44/x
  3. Step 3: Cross multiply
    3,275.69x = 4,522 × 2,097.44
  4. Step 4: Simplify right side
    3,275.69x = 9,484,623.68
  5. Step 5: Solve for x
    x = 9,484,623.68/3,275.69
  6. Step 6: Final answer
    x = 2,895.46

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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.