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Finding the Fourth Proportional to 2,743.70, 4,111.95 and 2,434.10

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Solution

The fourth proportional to 2,743.70, 4,111.95 and 2,434.10 is: 3,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.70 : 4,111.95 = 2,434.10 : x
  2. Step 2: Convert to fraction form
    2,743.70/4,111.95 = 2,434.10/x
  3. Step 3: Cross multiply
    2,743.70x = 4,111.95 × 2,434.10
  4. Step 4: Simplify right side
    2,743.70x = 10,008,897.50
  5. Step 5: Solve for x
    x = 10,008,897.50/2,743.70
  6. Step 6: Final answer
    x = 3,647.96

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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.