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Finding the Fourth Proportional to 2,712.66, 3,743.37 and 1,533.71

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Solution

The fourth proportional to 2,712.66, 3,743.37 and 1,533.71 is: 2,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.66 : 3,743.37 = 1,533.71 : x
  2. Step 2: Convert to fraction form
    2,712.66/3,743.37 = 1,533.71/x
  3. Step 3: Cross multiply
    2,712.66x = 3,743.37 × 1,533.71
  4. Step 4: Simplify right side
    2,712.66x = 5,741,225.29
  5. Step 5: Solve for x
    x = 5,741,225.29/2,712.66
  6. Step 6: Final answer
    x = 2,116.46

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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.