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Finding the Fourth Proportional to 3,062.25, 4,225.91 and 1,665

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Solution

The fourth proportional to 3,062.25, 4,225.91 and 1,665 is: 2,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.25 : 4,225.91 = 1,665 : x
  2. Step 2: Convert to fraction form
    3,062.25/4,225.91 = 1,665/x
  3. Step 3: Cross multiply
    3,062.25x = 4,225.91 × 1,665
  4. Step 4: Simplify right side
    3,062.25x = 7,036,131.83
  5. Step 5: Solve for x
    x = 7,036,131.83/3,062.25
  6. Step 6: Final answer
    x = 2,297.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.