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Finding the Fourth Proportional to 3,233.60, 4,461.60 and 1,837.12

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Solution

The fourth proportional to 3,233.60, 4,461.60 and 1,837.12 is: 2,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.60 : 4,461.60 = 1,837.12 : x
  2. Step 2: Convert to fraction form
    3,233.60/4,461.60 = 1,837.12/x
  3. Step 3: Cross multiply
    3,233.60x = 4,461.60 × 1,837.12
  4. Step 4: Simplify right side
    3,233.60x = 8,196,494.59
  5. Step 5: Solve for x
    x = 8,196,494.59/3,233.60
  6. Step 6: Final answer
    x = 2,534.79

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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.