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Finding the Fourth Proportional to 3,078.81, 4,618.22 and 770.31

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Solution

The fourth proportional to 3,078.81, 4,618.22 and 770.31 is: 1,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.81 : 4,618.22 = 770.31 : x
  2. Step 2: Convert to fraction form
    3,078.81/4,618.22 = 770.31/x
  3. Step 3: Cross multiply
    3,078.81x = 4,618.22 × 770.31
  4. Step 4: Simplify right side
    3,078.81x = 3,557,457.20
  5. Step 5: Solve for x
    x = 3,557,457.20/3,078.81
  6. Step 6: Final answer
    x = 1,155.47

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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.