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Finding the Fourth Proportional to 2,039.15, 3,056.70 and 998.30

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Solution

The fourth proportional to 2,039.15, 3,056.70 and 998.30 is: 1,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.15 : 3,056.70 = 998.30 : x
  2. Step 2: Convert to fraction form
    2,039.15/3,056.70 = 998.30/x
  3. Step 3: Cross multiply
    2,039.15x = 3,056.70 × 998.30
  4. Step 4: Simplify right side
    2,039.15x = 3,051,503.61
  5. Step 5: Solve for x
    x = 3,051,503.61/2,039.15
  6. Step 6: Final answer
    x = 1,496.46

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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.