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Finding the Fourth Proportional to 2,513.53, 3,468.66 and 1,394.47

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Solution

The fourth proportional to 2,513.53, 3,468.66 and 1,394.47 is: 1,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.53 : 3,468.66 = 1,394.47 : x
  2. Step 2: Convert to fraction form
    2,513.53/3,468.66 = 1,394.47/x
  3. Step 3: Cross multiply
    2,513.53x = 3,468.66 × 1,394.47
  4. Step 4: Simplify right side
    2,513.53x = 4,836,942.31
  5. Step 5: Solve for x
    x = 4,836,942.31/2,513.53
  6. Step 6: Final answer
    x = 1,924.36

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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.