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Finding the Fourth Proportional to 1,937.46, 2,906.16 and 784.02

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Solution

The fourth proportional to 1,937.46, 2,906.16 and 784.02 is: 1,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.46 : 2,906.16 = 784.02 : x
  2. Step 2: Convert to fraction form
    1,937.46/2,906.16 = 784.02/x
  3. Step 3: Cross multiply
    1,937.46x = 2,906.16 × 784.02
  4. Step 4: Simplify right side
    1,937.46x = 2,278,487.56
  5. Step 5: Solve for x
    x = 2,278,487.56/1,937.46
  6. Step 6: Final answer
    x = 1,176.02

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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.