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Finding the Fourth Proportional to 2,945.99, 4,419.01 and 754.66

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Solution

The fourth proportional to 2,945.99, 4,419.01 and 754.66 is: 1,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.99 : 4,419.01 = 754.66 : x
  2. Step 2: Convert to fraction form
    2,945.99/4,419.01 = 754.66/x
  3. Step 3: Cross multiply
    2,945.99x = 4,419.01 × 754.66
  4. Step 4: Simplify right side
    2,945.99x = 3,334,827.99
  5. Step 5: Solve for x
    x = 3,334,827.99/2,945.99
  6. Step 6: Final answer
    x = 1,131.99

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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.