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Finding the Fourth Proportional to 2,712.58, 3,743.12 and 1,533.72

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Solution

The fourth proportional to 2,712.58, 3,743.12 and 1,533.72 is: 2,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.58 : 3,743.12 = 1,533.72 : x
  2. Step 2: Convert to fraction form
    2,712.58/3,743.12 = 1,533.72/x
  3. Step 3: Cross multiply
    2,712.58x = 3,743.12 × 1,533.72
  4. Step 4: Simplify right side
    2,712.58x = 5,740,898.01
  5. Step 5: Solve for x
    x = 5,740,898.01/2,712.58
  6. Step 6: Final answer
    x = 2,116.40

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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.