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Finding the Fourth Proportional to 2,323.62, 3,206.65 and 1,261.38

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Solution

The fourth proportional to 2,323.62, 3,206.65 and 1,261.38 is: 1,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.62 : 3,206.65 = 1,261.38 : x
  2. Step 2: Convert to fraction form
    2,323.62/3,206.65 = 1,261.38/x
  3. Step 3: Cross multiply
    2,323.62x = 3,206.65 × 1,261.38
  4. Step 4: Simplify right side
    2,323.62x = 4,044,804.62
  5. Step 5: Solve for x
    x = 4,044,804.62/2,323.62
  6. Step 6: Final answer
    x = 1,740.74

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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.