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Finding the Fourth Proportional to 3,184.49, 4,776.62 and 844.51

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Solution

The fourth proportional to 3,184.49, 4,776.62 and 844.51 is: 1,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.49 : 4,776.62 = 844.51 : x
  2. Step 2: Convert to fraction form
    3,184.49/4,776.62 = 844.51/x
  3. Step 3: Cross multiply
    3,184.49x = 4,776.62 × 844.51
  4. Step 4: Simplify right side
    3,184.49x = 4,033,921.05
  5. Step 5: Solve for x
    x = 4,033,921.05/3,184.49
  6. Step 6: Final answer
    x = 1,266.74

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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.