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Finding the Fourth Proportional to 2,314.16, 3,471.46 and 754.10

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Solution

The fourth proportional to 2,314.16, 3,471.46 and 754.10 is: 1,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.16 : 3,471.46 = 754.10 : x
  2. Step 2: Convert to fraction form
    2,314.16/3,471.46 = 754.10/x
  3. Step 3: Cross multiply
    2,314.16x = 3,471.46 × 754.10
  4. Step 4: Simplify right side
    2,314.16x = 2,617,827.99
  5. Step 5: Solve for x
    x = 2,617,827.99/2,314.16
  6. Step 6: Final answer
    x = 1,131.22

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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.