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Finding the Fourth Proportional to 2,513.66, 3,468.80 and 1,394.60

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Solution

The fourth proportional to 2,513.66, 3,468.80 and 1,394.60 is: 1,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.66 : 3,468.80 = 1,394.60 : x
  2. Step 2: Convert to fraction form
    2,513.66/3,468.80 = 1,394.60/x
  3. Step 3: Cross multiply
    2,513.66x = 3,468.80 × 1,394.60
  4. Step 4: Simplify right side
    2,513.66x = 4,837,564.16
  5. Step 5: Solve for x
    x = 4,837,564.16/2,513.66
  6. Step 6: Final answer
    x = 1,924.51

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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.