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Finding the Fourth Proportional to 3,133.89, 4,693.35 and 1,743.77

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Solution

The fourth proportional to 3,133.89, 4,693.35 and 1,743.77 is: 2,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.89 : 4,693.35 = 1,743.77 : x
  2. Step 2: Convert to fraction form
    3,133.89/4,693.35 = 1,743.77/x
  3. Step 3: Cross multiply
    3,133.89x = 4,693.35 × 1,743.77
  4. Step 4: Simplify right side
    3,133.89x = 8,184,134.66
  5. Step 5: Solve for x
    x = 8,184,134.66/3,133.89
  6. Step 6: Final answer
    x = 2,611.49

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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.