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Finding the Fourth Proportional to 1,753.11, 2,629.71 and 1,342.98

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Solution

The fourth proportional to 1,753.11, 2,629.71 and 1,342.98 is: 2,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.11 : 2,629.71 = 1,342.98 : x
  2. Step 2: Convert to fraction form
    1,753.11/2,629.71 = 1,342.98/x
  3. Step 3: Cross multiply
    1,753.11x = 2,629.71 × 1,342.98
  4. Step 4: Simplify right side
    1,753.11x = 3,531,647.94
  5. Step 5: Solve for x
    x = 3,531,647.94/1,753.11
  6. Step 6: Final answer
    x = 2,014.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.