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Finding the Fourth Proportional to 1,847.37, 2,770.02 and 614.45

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Solution

The fourth proportional to 1,847.37, 2,770.02 and 614.45 is: 921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.37 : 2,770.02 = 614.45 : x
  2. Step 2: Convert to fraction form
    1,847.37/2,770.02 = 614.45/x
  3. Step 3: Cross multiply
    1,847.37x = 2,770.02 × 614.45
  4. Step 4: Simplify right side
    1,847.37x = 1,702,024.94
  5. Step 5: Solve for x
    x = 1,702,024.94/1,847.37
  6. Step 6: Final answer
    x = 921.32

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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.