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Finding the Fourth Proportional to 2,317.72, 3,476.72 and 674.28

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Solution

The fourth proportional to 2,317.72, 3,476.72 and 674.28 is: 1,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.72 : 3,476.72 = 674.28 : x
  2. Step 2: Convert to fraction form
    2,317.72/3,476.72 = 674.28/x
  3. Step 3: Cross multiply
    2,317.72x = 3,476.72 × 674.28
  4. Step 4: Simplify right side
    2,317.72x = 2,344,282.76
  5. Step 5: Solve for x
    x = 2,344,282.76/2,317.72
  6. Step 6: Final answer
    x = 1,011.46

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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.