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Finding the Fourth Proportional to 4,460.81, 6,691.41 and 1,686.56

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Solution

The fourth proportional to 4,460.81, 6,691.41 and 1,686.56 is: 2,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.81 : 6,691.41 = 1,686.56 : x
  2. Step 2: Convert to fraction form
    4,460.81/6,691.41 = 1,686.56/x
  3. Step 3: Cross multiply
    4,460.81x = 6,691.41 × 1,686.56
  4. Step 4: Simplify right side
    4,460.81x = 11,285,430.99
  5. Step 5: Solve for x
    x = 11,285,430.99/4,460.81
  6. Step 6: Final answer
    x = 2,529.91

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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.