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Finding the Fourth Proportional to 3,206.90, 4,807.50 and 1,726.92

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Solution

The fourth proportional to 3,206.90, 4,807.50 and 1,726.92 is: 2,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.90 : 4,807.50 = 1,726.92 : x
  2. Step 2: Convert to fraction form
    3,206.90/4,807.50 = 1,726.92/x
  3. Step 3: Cross multiply
    3,206.90x = 4,807.50 × 1,726.92
  4. Step 4: Simplify right side
    3,206.90x = 8,302,167.90
  5. Step 5: Solve for x
    x = 8,302,167.90/3,206.90
  6. Step 6: Final answer
    x = 2,588.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.