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Finding the Fourth Proportional to 2,712.61, 3,743.48 and 1,533.66

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Solution

The fourth proportional to 2,712.61, 3,743.48 and 1,533.66 is: 2,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.61 : 3,743.48 = 1,533.66 : x
  2. Step 2: Convert to fraction form
    2,712.61/3,743.48 = 1,533.66/x
  3. Step 3: Cross multiply
    2,712.61x = 3,743.48 × 1,533.66
  4. Step 4: Simplify right side
    2,712.61x = 5,741,215.33
  5. Step 5: Solve for x
    x = 5,741,215.33/2,712.61
  6. Step 6: Final answer
    x = 2,116.49

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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.