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Finding the Fourth Proportional to 2,727.16, 3,763.43 and 2,504

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Solution

The fourth proportional to 2,727.16, 3,763.43 and 2,504 is: 3,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.16 : 3,763.43 = 2,504 : x
  2. Step 2: Convert to fraction form
    2,727.16/3,763.43 = 2,504/x
  3. Step 3: Cross multiply
    2,727.16x = 3,763.43 × 2,504
  4. Step 4: Simplify right side
    2,727.16x = 9,423,628.72
  5. Step 5: Solve for x
    x = 9,423,628.72/2,727.16
  6. Step 6: Final answer
    x = 3,455.47

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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.