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Finding the Fourth Proportional to 3,207.66, 4,426.66 and 1,810.50

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Solution

The fourth proportional to 3,207.66, 4,426.66 and 1,810.50 is: 2,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.66 : 4,426.66 = 1,810.50 : x
  2. Step 2: Convert to fraction form
    3,207.66/4,426.66 = 1,810.50/x
  3. Step 3: Cross multiply
    3,207.66x = 4,426.66 × 1,810.50
  4. Step 4: Simplify right side
    3,207.66x = 8,014,467.93
  5. Step 5: Solve for x
    x = 8,014,467.93/3,207.66
  6. Step 6: Final answer
    x = 2,498.54

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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.