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Finding the Fourth Proportional to 3,149.34, 4,346.43 and 1,733.14

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Solution

The fourth proportional to 3,149.34, 4,346.43 and 1,733.14 is: 2,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.34 : 4,346.43 = 1,733.14 : x
  2. Step 2: Convert to fraction form
    3,149.34/4,346.43 = 1,733.14/x
  3. Step 3: Cross multiply
    3,149.34x = 4,346.43 × 1,733.14
  4. Step 4: Simplify right side
    3,149.34x = 7,532,985.25
  5. Step 5: Solve for x
    x = 7,532,985.25/3,149.34
  6. Step 6: Final answer
    x = 2,391.93

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