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Finding the Fourth Proportional to 2,004.98, 2,769.54 and 1,613.48

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Solution

The fourth proportional to 2,004.98, 2,769.54 and 1,613.48 is: 2,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.98 : 2,769.54 = 1,613.48 : x
  2. Step 2: Convert to fraction form
    2,004.98/2,769.54 = 1,613.48/x
  3. Step 3: Cross multiply
    2,004.98x = 2,769.54 × 1,613.48
  4. Step 4: Simplify right side
    2,004.98x = 4,468,597.40
  5. Step 5: Solve for x
    x = 4,468,597.40/2,004.98
  6. Step 6: Final answer
    x = 2,228.75

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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.