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Finding the Fourth Proportional to 2,039.69, 3,059.53 and 807.39

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Solution

The fourth proportional to 2,039.69, 3,059.53 and 807.39 is: 1,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.69 : 3,059.53 = 807.39 : x
  2. Step 2: Convert to fraction form
    2,039.69/3,059.53 = 807.39/x
  3. Step 3: Cross multiply
    2,039.69x = 3,059.53 × 807.39
  4. Step 4: Simplify right side
    2,039.69x = 2,470,231.91
  5. Step 5: Solve for x
    x = 2,470,231.91/2,039.69
  6. Step 6: Final answer
    x = 1,211.08

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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.