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Finding the Fourth Proportional to 3,768.71, 5,653.04 and 2,048.27

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Solution

The fourth proportional to 3,768.71, 5,653.04 and 2,048.27 is: 3,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.71 : 5,653.04 = 2,048.27 : x
  2. Step 2: Convert to fraction form
    3,768.71/5,653.04 = 2,048.27/x
  3. Step 3: Cross multiply
    3,768.71x = 5,653.04 × 2,048.27
  4. Step 4: Simplify right side
    3,768.71x = 11,578,952.24
  5. Step 5: Solve for x
    x = 11,578,952.24/3,768.71
  6. Step 6: Final answer
    x = 3,072.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.