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Finding the Fourth Proportional to 2,712.84, 3,743.31 and 1,650.06

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Solution

The fourth proportional to 2,712.84, 3,743.31 and 1,650.06 is: 2,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.84 : 3,743.31 = 1,650.06 : x
  2. Step 2: Convert to fraction form
    2,712.84/3,743.31 = 1,650.06/x
  3. Step 3: Cross multiply
    2,712.84x = 3,743.31 × 1,650.06
  4. Step 4: Simplify right side
    2,712.84x = 6,176,686.10
  5. Step 5: Solve for x
    x = 6,176,686.10/2,712.84
  6. Step 6: Final answer
    x = 2,276.83

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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.