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Finding the Fourth Proportional to 2,349.25, 3,525.17 and 1,309.84

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Solution

The fourth proportional to 2,349.25, 3,525.17 and 1,309.84 is: 1,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.25 : 3,525.17 = 1,309.84 : x
  2. Step 2: Convert to fraction form
    2,349.25/3,525.17 = 1,309.84/x
  3. Step 3: Cross multiply
    2,349.25x = 3,525.17 × 1,309.84
  4. Step 4: Simplify right side
    2,349.25x = 4,617,403.13
  5. Step 5: Solve for x
    x = 4,617,403.13/2,349.25
  6. Step 6: Final answer
    x = 1,965.48

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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.