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Finding the Fourth Proportional to 2,039.99, 3,061.76 and 1,066.77

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Solution

The fourth proportional to 2,039.99, 3,061.76 and 1,066.77 is: 1,601.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.99 : 3,061.76 = 1,066.77 : x
  2. Step 2: Convert to fraction form
    2,039.99/3,061.76 = 1,066.77/x
  3. Step 3: Cross multiply
    2,039.99x = 3,061.76 × 1,066.77
  4. Step 4: Simplify right side
    2,039.99x = 3,266,188.38
  5. Step 5: Solve for x
    x = 3,266,188.38/2,039.99
  6. Step 6: Final answer
    x = 1,601.08

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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.