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Finding the Fourth Proportional to 2,937.31, 4,407.07 and 1,768.12

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Solution

The fourth proportional to 2,937.31, 4,407.07 and 1,768.12 is: 2,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.31 : 4,407.07 = 1,768.12 : x
  2. Step 2: Convert to fraction form
    2,937.31/4,407.07 = 1,768.12/x
  3. Step 3: Cross multiply
    2,937.31x = 4,407.07 × 1,768.12
  4. Step 4: Simplify right side
    2,937.31x = 7,792,213.17
  5. Step 5: Solve for x
    x = 7,792,213.17/2,937.31
  6. Step 6: Final answer
    x = 2,652.84

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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.