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Finding the Fourth Proportional to 2,349.14, 3,522.83 and 961.74

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Solution

The fourth proportional to 2,349.14, 3,522.83 and 961.74 is: 1,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.14 : 3,522.83 = 961.74 : x
  2. Step 2: Convert to fraction form
    2,349.14/3,522.83 = 961.74/x
  3. Step 3: Cross multiply
    2,349.14x = 3,522.83 × 961.74
  4. Step 4: Simplify right side
    2,349.14x = 3,388,041.72
  5. Step 5: Solve for x
    x = 3,388,041.72/2,349.14
  6. Step 6: Final answer
    x = 1,442.25

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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.