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Finding the Fourth Proportional to 1,846.62, 2,770.59 and 872.49

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Solution

The fourth proportional to 1,846.62, 2,770.59 and 872.49 is: 1,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.62 : 2,770.59 = 872.49 : x
  2. Step 2: Convert to fraction form
    1,846.62/2,770.59 = 872.49/x
  3. Step 3: Cross multiply
    1,846.62x = 2,770.59 × 872.49
  4. Step 4: Simplify right side
    1,846.62x = 2,417,312.07
  5. Step 5: Solve for x
    x = 2,417,312.07/1,846.62
  6. Step 6: Final answer
    x = 1,309.05

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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.