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Finding the Fourth Proportional to 2,303.99, 3,456.11 and 660.78

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Solution

The fourth proportional to 2,303.99, 3,456.11 and 660.78 is: 991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.99 : 3,456.11 = 660.78 : x
  2. Step 2: Convert to fraction form
    2,303.99/3,456.11 = 660.78/x
  3. Step 3: Cross multiply
    2,303.99x = 3,456.11 × 660.78
  4. Step 4: Simplify right side
    2,303.99x = 2,283,728.37
  5. Step 5: Solve for x
    x = 2,283,728.37/2,303.99
  6. Step 6: Final answer
    x = 991.21

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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.