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Finding the Fourth Proportional to 2,677.93, 4,017.42 and 828.73

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Solution

The fourth proportional to 2,677.93, 4,017.42 and 828.73 is: 1,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.93 : 4,017.42 = 828.73 : x
  2. Step 2: Convert to fraction form
    2,677.93/4,017.42 = 828.73/x
  3. Step 3: Cross multiply
    2,677.93x = 4,017.42 × 828.73
  4. Step 4: Simplify right side
    2,677.93x = 3,329,356.48
  5. Step 5: Solve for x
    x = 3,329,356.48/2,677.93
  6. Step 6: Final answer
    x = 1,243.26

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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.