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Finding the Fourth Proportional to 3,259.83, 4,893 and 1,799.67

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Solution

The fourth proportional to 3,259.83, 4,893 and 1,799.67 is: 2,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.83 : 4,893 = 1,799.67 : x
  2. Step 2: Convert to fraction form
    3,259.83/4,893 = 1,799.67/x
  3. Step 3: Cross multiply
    3,259.83x = 4,893 × 1,799.67
  4. Step 4: Simplify right side
    3,259.83x = 8,805,785.31
  5. Step 5: Solve for x
    x = 8,805,785.31/3,259.83
  6. Step 6: Final answer
    x = 2,701.30

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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.