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Finding the Fourth Proportional to 2,357, 3,252.66 and 1,309.16

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Solution

The fourth proportional to 2,357, 3,252.66 and 1,309.16 is: 1,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357 : 3,252.66 = 1,309.16 : x
  2. Step 2: Convert to fraction form
    2,357/3,252.66 = 1,309.16/x
  3. Step 3: Cross multiply
    2,357x = 3,252.66 × 1,309.16
  4. Step 4: Simplify right side
    2,357x = 4,258,252.37
  5. Step 5: Solve for x
    x = 4,258,252.37/2,357
  6. Step 6: Final answer
    x = 1,806.64

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Why These Related Problems?

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