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Finding the Fourth Proportional to 3,193.02, 4,406.31 and 1,776.66

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Solution

The fourth proportional to 3,193.02, 4,406.31 and 1,776.66 is: 2,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.02 : 4,406.31 = 1,776.66 : x
  2. Step 2: Convert to fraction form
    3,193.02/4,406.31 = 1,776.66/x
  3. Step 3: Cross multiply
    3,193.02x = 4,406.31 × 1,776.66
  4. Step 4: Simplify right side
    3,193.02x = 7,828,514.72
  5. Step 5: Solve for x
    x = 7,828,514.72/3,193.02
  6. Step 6: Final answer
    x = 2,451.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.