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Finding the Fourth Proportional to 2,318.02, 3,476.47 and 674.12

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Solution

The fourth proportional to 2,318.02, 3,476.47 and 674.12 is: 1,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.02 : 3,476.47 = 674.12 : x
  2. Step 2: Convert to fraction form
    2,318.02/3,476.47 = 674.12/x
  3. Step 3: Cross multiply
    2,318.02x = 3,476.47 × 674.12
  4. Step 4: Simplify right side
    2,318.02x = 2,343,557.96
  5. Step 5: Solve for x
    x = 2,343,557.96/2,318.02
  6. Step 6: Final answer
    x = 1,011.02

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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.