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Finding the Fourth Proportional to 1,967.24, 2,950.86 and 926.48

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Solution

The fourth proportional to 1,967.24, 2,950.86 and 926.48 is: 1,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.24 : 2,950.86 = 926.48 : x
  2. Step 2: Convert to fraction form
    1,967.24/2,950.86 = 926.48/x
  3. Step 3: Cross multiply
    1,967.24x = 2,950.86 × 926.48
  4. Step 4: Simplify right side
    1,967.24x = 2,733,912.77
  5. Step 5: Solve for x
    x = 2,733,912.77/1,967.24
  6. Step 6: Final answer
    x = 1,389.72

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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.