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Finding the Fourth Proportional to 2,850.47, 4,275.35 and 770.31

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Solution

The fourth proportional to 2,850.47, 4,275.35 and 770.31 is: 1,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.47 : 4,275.35 = 770.31 : x
  2. Step 2: Convert to fraction form
    2,850.47/4,275.35 = 770.31/x
  3. Step 3: Cross multiply
    2,850.47x = 4,275.35 × 770.31
  4. Step 4: Simplify right side
    2,850.47x = 3,293,344.86
  5. Step 5: Solve for x
    x = 3,293,344.86/2,850.47
  6. Step 6: Final answer
    x = 1,155.37

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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.