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Finding the Fourth Proportional to 2,767.54, 3,816.08 and 2,060.64

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Solution

The fourth proportional to 2,767.54, 3,816.08 and 2,060.64 is: 2,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.54 : 3,816.08 = 2,060.64 : x
  2. Step 2: Convert to fraction form
    2,767.54/3,816.08 = 2,060.64/x
  3. Step 3: Cross multiply
    2,767.54x = 3,816.08 × 2,060.64
  4. Step 4: Simplify right side
    2,767.54x = 7,863,567.09
  5. Step 5: Solve for x
    x = 7,863,567.09/2,767.54
  6. Step 6: Final answer
    x = 2,841.36

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1.5x scale

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.