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Finding the Fourth Proportional to 2,323.07, 3,206.07 and 1,328.51

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Solution

The fourth proportional to 2,323.07, 3,206.07 and 1,328.51 is: 1,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.07 : 3,206.07 = 1,328.51 : x
  2. Step 2: Convert to fraction form
    2,323.07/3,206.07 = 1,328.51/x
  3. Step 3: Cross multiply
    2,323.07x = 3,206.07 × 1,328.51
  4. Step 4: Simplify right side
    2,323.07x = 4,259,296.06
  5. Step 5: Solve for x
    x = 4,259,296.06/2,323.07
  6. Step 6: Final answer
    x = 1,833.48

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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.