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Finding the Fourth Proportional to 2,873.99, 4,311.21 and 926.26

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Solution

The fourth proportional to 2,873.99, 4,311.21 and 926.26 is: 1,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.99 : 4,311.21 = 926.26 : x
  2. Step 2: Convert to fraction form
    2,873.99/4,311.21 = 926.26/x
  3. Step 3: Cross multiply
    2,873.99x = 4,311.21 × 926.26
  4. Step 4: Simplify right side
    2,873.99x = 3,993,301.37
  5. Step 5: Solve for x
    x = 3,993,301.37/2,873.99
  6. Step 6: Final answer
    x = 1,389.46

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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.