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Finding the Fourth Proportional to 2,663.48, 3,998.02 and 1,277.98

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Solution

The fourth proportional to 2,663.48, 3,998.02 and 1,277.98 is: 1,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.48 : 3,998.02 = 1,277.98 : x
  2. Step 2: Convert to fraction form
    2,663.48/3,998.02 = 1,277.98/x
  3. Step 3: Cross multiply
    2,663.48x = 3,998.02 × 1,277.98
  4. Step 4: Simplify right side
    2,663.48x = 5,109,389.60
  5. Step 5: Solve for x
    x = 5,109,389.60/2,663.48
  6. Step 6: Final answer
    x = 1,918.31

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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.