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Finding the Fourth Proportional to 2,700, 3,724.56 and 1,814.28

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Solution

The fourth proportional to 2,700, 3,724.56 and 1,814.28 is: 2,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700 : 3,724.56 = 1,814.28 : x
  2. Step 2: Convert to fraction form
    2,700/3,724.56 = 1,814.28/x
  3. Step 3: Cross multiply
    2,700x = 3,724.56 × 1,814.28
  4. Step 4: Simplify right side
    2,700x = 6,757,394.72
  5. Step 5: Solve for x
    x = 6,757,394.72/2,700
  6. Step 6: Final answer
    x = 2,502.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.