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Finding the Fourth Proportional to 2,513.39, 3,468.41 and 1,394.32

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Solution

The fourth proportional to 2,513.39, 3,468.41 and 1,394.32 is: 1,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.39 : 3,468.41 = 1,394.32 : x
  2. Step 2: Convert to fraction form
    2,513.39/3,468.41 = 1,394.32/x
  3. Step 3: Cross multiply
    2,513.39x = 3,468.41 × 1,394.32
  4. Step 4: Simplify right side
    2,513.39x = 4,836,066.46
  5. Step 5: Solve for x
    x = 4,836,066.46/2,513.39
  6. Step 6: Final answer
    x = 1,924.12

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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.