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Finding the Fourth Proportional to 2,513.54, 3,468.57 and 1,394.49

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Solution

The fourth proportional to 2,513.54, 3,468.57 and 1,394.49 is: 1,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.54 : 3,468.57 = 1,394.49 : x
  2. Step 2: Convert to fraction form
    2,513.54/3,468.57 = 1,394.49/x
  3. Step 3: Cross multiply
    2,513.54x = 3,468.57 × 1,394.49
  4. Step 4: Simplify right side
    2,513.54x = 4,836,886.18
  5. Step 5: Solve for x
    x = 4,836,886.18/2,513.54
  6. Step 6: Final answer
    x = 1,924.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.