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Finding the Fourth Proportional to 2,772.77, 4,153.77 and 2,184.66

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Solution

The fourth proportional to 2,772.77, 4,153.77 and 2,184.66 is: 3,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.77 : 4,153.77 = 2,184.66 : x
  2. Step 2: Convert to fraction form
    2,772.77/4,153.77 = 2,184.66/x
  3. Step 3: Cross multiply
    2,772.77x = 4,153.77 × 2,184.66
  4. Step 4: Simplify right side
    2,772.77x = 9,074,575.17
  5. Step 5: Solve for x
    x = 9,074,575.17/2,772.77
  6. Step 6: Final answer
    x = 3,272.75

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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.