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Finding the Fourth Proportional to 3,153.48, 4,733.38 and 1,305.68

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Solution

The fourth proportional to 3,153.48, 4,733.38 and 1,305.68 is: 1,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.48 : 4,733.38 = 1,305.68 : x
  2. Step 2: Convert to fraction form
    3,153.48/4,733.38 = 1,305.68/x
  3. Step 3: Cross multiply
    3,153.48x = 4,733.38 × 1,305.68
  4. Step 4: Simplify right side
    3,153.48x = 6,180,279.60
  5. Step 5: Solve for x
    x = 6,180,279.60/3,153.48
  6. Step 6: Final answer
    x = 1,959.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.