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Finding the Fourth Proportional to 2,729.52, 4,090.10 and 1,266.98

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Solution

The fourth proportional to 2,729.52, 4,090.10 and 1,266.98 is: 1,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.52 : 4,090.10 = 1,266.98 : x
  2. Step 2: Convert to fraction form
    2,729.52/4,090.10 = 1,266.98/x
  3. Step 3: Cross multiply
    2,729.52x = 4,090.10 × 1,266.98
  4. Step 4: Simplify right side
    2,729.52x = 5,182,048.11
  5. Step 5: Solve for x
    x = 5,182,048.11/2,729.52
  6. Step 6: Final answer
    x = 1,898.52

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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.