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Finding the Fourth Proportional to 2,062.34, 3,092.03 and 966.10

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Solution

The fourth proportional to 2,062.34, 3,092.03 and 966.10 is: 1,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.34 : 3,092.03 = 966.10 : x
  2. Step 2: Convert to fraction form
    2,062.34/3,092.03 = 966.10/x
  3. Step 3: Cross multiply
    2,062.34x = 3,092.03 × 966.10
  4. Step 4: Simplify right side
    2,062.34x = 2,987,216.46
  5. Step 5: Solve for x
    x = 2,987,216.46/2,062.34
  6. Step 6: Final answer
    x = 1,448.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.