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Finding the Fourth Proportional to 2,006.64, 3,008.52 and 773.94

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Solution

The fourth proportional to 2,006.64, 3,008.52 and 773.94 is: 1,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.64 : 3,008.52 = 773.94 : x
  2. Step 2: Convert to fraction form
    2,006.64/3,008.52 = 773.94/x
  3. Step 3: Cross multiply
    2,006.64x = 3,008.52 × 773.94
  4. Step 4: Simplify right side
    2,006.64x = 2,328,413.97
  5. Step 5: Solve for x
    x = 2,328,413.97/2,006.64
  6. Step 6: Final answer
    x = 1,160.35

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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.