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Finding the Fourth Proportional to 1,467.10, 2,203.17 and 808.66

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Solution

The fourth proportional to 1,467.10, 2,203.17 and 808.66 is: 1,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.10 : 2,203.17 = 808.66 : x
  2. Step 2: Convert to fraction form
    1,467.10/2,203.17 = 808.66/x
  3. Step 3: Cross multiply
    1,467.10x = 2,203.17 × 808.66
  4. Step 4: Simplify right side
    1,467.10x = 1,781,615.45
  5. Step 5: Solve for x
    x = 1,781,615.45/1,467.10
  6. Step 6: Final answer
    x = 1,214.38

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