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Finding the Fourth Proportional to 2,513.13, 3,468.13 and 1,394.12

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Solution

The fourth proportional to 2,513.13, 3,468.13 and 1,394.12 is: 1,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.13 : 3,468.13 = 1,394.12 : x
  2. Step 2: Convert to fraction form
    2,513.13/3,468.13 = 1,394.12/x
  3. Step 3: Cross multiply
    2,513.13x = 3,468.13 × 1,394.12
  4. Step 4: Simplify right side
    2,513.13x = 4,834,989.40
  5. Step 5: Solve for x
    x = 4,834,989.40/2,513.13
  6. Step 6: Final answer
    x = 1,923.89

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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.