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Finding the Fourth Proportional to 2,346.25, 3,519.42 and 886.09

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Solution

The fourth proportional to 2,346.25, 3,519.42 and 886.09 is: 1,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.25 : 3,519.42 = 886.09 : x
  2. Step 2: Convert to fraction form
    2,346.25/3,519.42 = 886.09/x
  3. Step 3: Cross multiply
    2,346.25x = 3,519.42 × 886.09
  4. Step 4: Simplify right side
    2,346.25x = 3,118,522.87
  5. Step 5: Solve for x
    x = 3,118,522.87/2,346.25
  6. Step 6: Final answer
    x = 1,329.15

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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.