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Finding the Fourth Proportional to 1,743.84, 2,611.92 and 1,434.96

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Solution

The fourth proportional to 1,743.84, 2,611.92 and 1,434.96 is: 2,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.84 : 2,611.92 = 1,434.96 : x
  2. Step 2: Convert to fraction form
    1,743.84/2,611.92 = 1,434.96/x
  3. Step 3: Cross multiply
    1,743.84x = 2,611.92 × 1,434.96
  4. Step 4: Simplify right side
    1,743.84x = 3,748,000.72
  5. Step 5: Solve for x
    x = 3,748,000.72/1,743.84
  6. Step 6: Final answer
    x = 2,149.28

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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.