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Finding the Fourth Proportional to 2,513.68, 3,468.94 and 1,394.63

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Solution

The fourth proportional to 2,513.68, 3,468.94 and 1,394.63 is: 1,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.68 : 3,468.94 = 1,394.63 : x
  2. Step 2: Convert to fraction form
    2,513.68/3,468.94 = 1,394.63/x
  3. Step 3: Cross multiply
    2,513.68x = 3,468.94 × 1,394.63
  4. Step 4: Simplify right side
    2,513.68x = 4,837,894.60
  5. Step 5: Solve for x
    x = 4,837,894.60/2,513.68
  6. Step 6: Final answer
    x = 1,924.63

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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.