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Finding the Fourth Proportional to 1,850.46, 2,776.30 and 876.44

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Solution

The fourth proportional to 1,850.46, 2,776.30 and 876.44 is: 1,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.46 : 2,776.30 = 876.44 : x
  2. Step 2: Convert to fraction form
    1,850.46/2,776.30 = 876.44/x
  3. Step 3: Cross multiply
    1,850.46x = 2,776.30 × 876.44
  4. Step 4: Simplify right side
    1,850.46x = 2,433,260.37
  5. Step 5: Solve for x
    x = 2,433,260.37/1,850.46
  6. Step 6: Final answer
    x = 1,314.95

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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.