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Finding the Fourth Proportional to 2,369.52, 3,269.97 and 1,374.98

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Solution

The fourth proportional to 2,369.52, 3,269.97 and 1,374.98 is: 1,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.52 : 3,269.97 = 1,374.98 : x
  2. Step 2: Convert to fraction form
    2,369.52/3,269.97 = 1,374.98/x
  3. Step 3: Cross multiply
    2,369.52x = 3,269.97 × 1,374.98
  4. Step 4: Simplify right side
    2,369.52x = 4,496,127.00
  5. Step 5: Solve for x
    x = 4,496,127.00/2,369.52
  6. Step 6: Final answer
    x = 1,897.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.