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Finding the Fourth Proportional to 3,233.47, 4,460.52 and 2,053.30

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Solution

The fourth proportional to 3,233.47, 4,460.52 and 2,053.30 is: 2,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.47 : 4,460.52 = 2,053.30 : x
  2. Step 2: Convert to fraction form
    3,233.47/4,460.52 = 2,053.30/x
  3. Step 3: Cross multiply
    3,233.47x = 4,460.52 × 2,053.30
  4. Step 4: Simplify right side
    3,233.47x = 9,158,785.72
  5. Step 5: Solve for x
    x = 9,158,785.72/3,233.47
  6. Step 6: Final answer
    x = 2,832.49

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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.