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Finding the Fourth Proportional to 2,300.14, 3,450.17 and 656.47

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Solution

The fourth proportional to 2,300.14, 3,450.17 and 656.47 is: 984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.14 : 3,450.17 = 656.47 : x
  2. Step 2: Convert to fraction form
    2,300.14/3,450.17 = 656.47/x
  3. Step 3: Cross multiply
    2,300.14x = 3,450.17 × 656.47
  4. Step 4: Simplify right side
    2,300.14x = 2,264,926.12
  5. Step 5: Solve for x
    x = 2,264,926.12/2,300.14
  6. Step 6: Final answer
    x = 984.69

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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.