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Finding the Fourth Proportional to 2,357.19, 3,252.90 and 1,309.25

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Solution

The fourth proportional to 2,357.19, 3,252.90 and 1,309.25 is: 1,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.19 : 3,252.90 = 1,309.25 : x
  2. Step 2: Convert to fraction form
    2,357.19/3,252.90 = 1,309.25/x
  3. Step 3: Cross multiply
    2,357.19x = 3,252.90 × 1,309.25
  4. Step 4: Simplify right side
    2,357.19x = 4,258,843.06
  5. Step 5: Solve for x
    x = 4,258,843.06/2,357.19
  6. Step 6: Final answer
    x = 1,806.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.