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Finding the Fourth Proportional to 3,267.68, 4,893.68 and 1,876.81

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Solution

The fourth proportional to 3,267.68, 4,893.68 and 1,876.81 is: 2,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.68 : 4,893.68 = 1,876.81 : x
  2. Step 2: Convert to fraction form
    3,267.68/4,893.68 = 1,876.81/x
  3. Step 3: Cross multiply
    3,267.68x = 4,893.68 × 1,876.81
  4. Step 4: Simplify right side
    3,267.68x = 9,184,473.71
  5. Step 5: Solve for x
    x = 9,184,473.71/3,267.68
  6. Step 6: Final answer
    x = 2,810.70

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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.