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Finding the Fourth Proportional to 2,062.34, 3,093.51 and 966.50

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Solution

The fourth proportional to 2,062.34, 3,093.51 and 966.50 is: 1,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.34 : 3,093.51 = 966.50 : x
  2. Step 2: Convert to fraction form
    2,062.34/3,093.51 = 966.50/x
  3. Step 3: Cross multiply
    2,062.34x = 3,093.51 × 966.50
  4. Step 4: Simplify right side
    2,062.34x = 2,989,877.42
  5. Step 5: Solve for x
    x = 2,989,877.42/2,062.34
  6. Step 6: Final answer
    x = 1,449.75

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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.