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Finding the Fourth Proportional to 2,314.49, 3,471.66 and 927.46

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Solution

The fourth proportional to 2,314.49, 3,471.66 and 927.46 is: 1,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.49 : 3,471.66 = 927.46 : x
  2. Step 2: Convert to fraction form
    2,314.49/3,471.66 = 927.46/x
  3. Step 3: Cross multiply
    2,314.49x = 3,471.66 × 927.46
  4. Step 4: Simplify right side
    2,314.49x = 3,219,830.12
  5. Step 5: Solve for x
    x = 3,219,830.12/2,314.49
  6. Step 6: Final answer
    x = 1,391.16

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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.