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Finding the Fourth Proportional to 2,040.88, 3,059.28 and 807.62

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Solution

The fourth proportional to 2,040.88, 3,059.28 and 807.62 is: 1,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.88 : 3,059.28 = 807.62 : x
  2. Step 2: Convert to fraction form
    2,040.88/3,059.28 = 807.62/x
  3. Step 3: Cross multiply
    2,040.88x = 3,059.28 × 807.62
  4. Step 4: Simplify right side
    2,040.88x = 2,470,735.71
  5. Step 5: Solve for x
    x = 2,470,735.71/2,040.88
  6. Step 6: Final answer
    x = 1,210.62

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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.