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Finding the Fourth Proportional to 2,337.06, 3,505.22 and 950.05

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Solution

The fourth proportional to 2,337.06, 3,505.22 and 950.05 is: 1,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.06 : 3,505.22 = 950.05 : x
  2. Step 2: Convert to fraction form
    2,337.06/3,505.22 = 950.05/x
  3. Step 3: Cross multiply
    2,337.06x = 3,505.22 × 950.05
  4. Step 4: Simplify right side
    2,337.06x = 3,330,134.26
  5. Step 5: Solve for x
    x = 3,330,134.26/2,337.06
  6. Step 6: Final answer
    x = 1,424.92

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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.