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Finding the Fourth Proportional to 2,323.61, 3,206.49 and 1,275.66

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Solution

The fourth proportional to 2,323.61, 3,206.49 and 1,275.66 is: 1,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.61 : 3,206.49 = 1,275.66 : x
  2. Step 2: Convert to fraction form
    2,323.61/3,206.49 = 1,275.66/x
  3. Step 3: Cross multiply
    2,323.61x = 3,206.49 × 1,275.66
  4. Step 4: Simplify right side
    2,323.61x = 4,090,391.03
  5. Step 5: Solve for x
    x = 4,090,391.03/2,323.61
  6. Step 6: Final answer
    x = 1,760.36

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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.