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Finding the Fourth Proportional to 3,111.77, 4,654.89 and 2,062.01

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Solution

The fourth proportional to 3,111.77, 4,654.89 and 2,062.01 is: 3,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.77 : 4,654.89 = 2,062.01 : x
  2. Step 2: Convert to fraction form
    3,111.77/4,654.89 = 2,062.01/x
  3. Step 3: Cross multiply
    3,111.77x = 4,654.89 × 2,062.01
  4. Step 4: Simplify right side
    3,111.77x = 9,598,406.45
  5. Step 5: Solve for x
    x = 9,598,406.45/3,111.77
  6. Step 6: Final answer
    x = 3,084.55

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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.