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Finding the Fourth Proportional to 2,039.66, 3,061.76 and 1,905.81

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Solution

The fourth proportional to 2,039.66, 3,061.76 and 1,905.81 is: 2,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.66 : 3,061.76 = 1,905.81 : x
  2. Step 2: Convert to fraction form
    2,039.66/3,061.76 = 1,905.81/x
  3. Step 3: Cross multiply
    2,039.66x = 3,061.76 × 1,905.81
  4. Step 4: Simplify right side
    2,039.66x = 5,835,123.30
  5. Step 5: Solve for x
    x = 5,835,123.30/2,039.66
  6. Step 6: Final answer
    x = 2,860.84

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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.