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Finding the Fourth Proportional to 2,840.50, 4,260.04 and 991.34

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Solution

The fourth proportional to 2,840.50, 4,260.04 and 991.34 is: 1,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.50 : 4,260.04 = 991.34 : x
  2. Step 2: Convert to fraction form
    2,840.50/4,260.04 = 991.34/x
  3. Step 3: Cross multiply
    2,840.50x = 4,260.04 × 991.34
  4. Step 4: Simplify right side
    2,840.50x = 4,223,148.05
  5. Step 5: Solve for x
    x = 4,223,148.05/2,840.50
  6. Step 6: Final answer
    x = 1,486.76

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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.