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Finding the Fourth Proportional to 2,725.76, 3,761.64 and 1,607.66

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Solution

The fourth proportional to 2,725.76, 3,761.64 and 1,607.66 is: 2,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.76 : 3,761.64 = 1,607.66 : x
  2. Step 2: Convert to fraction form
    2,725.76/3,761.64 = 1,607.66/x
  3. Step 3: Cross multiply
    2,725.76x = 3,761.64 × 1,607.66
  4. Step 4: Simplify right side
    2,725.76x = 6,047,419.35
  5. Step 5: Solve for x
    x = 6,047,419.35/2,725.76
  6. Step 6: Final answer
    x = 2,218.62

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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.