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Finding the Fourth Proportional to 3,149.74, 4,346.54 and 1,733.30

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Solution

The fourth proportional to 3,149.74, 4,346.54 and 1,733.30 is: 2,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.74 : 4,346.54 = 1,733.30 : x
  2. Step 2: Convert to fraction form
    3,149.74/4,346.54 = 1,733.30/x
  3. Step 3: Cross multiply
    3,149.74x = 4,346.54 × 1,733.30
  4. Step 4: Simplify right side
    3,149.74x = 7,533,845.31
  5. Step 5: Solve for x
    x = 7,533,845.31/3,149.74
  6. Step 6: Final answer
    x = 2,391.89

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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.