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Finding the Fourth Proportional to 2,513.57, 3,468.74 and 1,394.58

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Solution

The fourth proportional to 2,513.57, 3,468.74 and 1,394.58 is: 1,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.57 : 3,468.74 = 1,394.58 : x
  2. Step 2: Convert to fraction form
    2,513.57/3,468.74 = 1,394.58/x
  3. Step 3: Cross multiply
    2,513.57x = 3,468.74 × 1,394.58
  4. Step 4: Simplify right side
    2,513.57x = 4,837,420.04
  5. Step 5: Solve for x
    x = 4,837,420.04/2,513.57
  6. Step 6: Final answer
    x = 1,924.53

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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.