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Finding the Fourth Proportional to 3,099, 4,277.16 and 1,857

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Solution

The fourth proportional to 3,099, 4,277.16 and 1,857 is: 2,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099 : 4,277.16 = 1,857 : x
  2. Step 2: Convert to fraction form
    3,099/4,277.16 = 1,857/x
  3. Step 3: Cross multiply
    3,099x = 4,277.16 × 1,857
  4. Step 4: Simplify right side
    3,099x = 7,942,686.12
  5. Step 5: Solve for x
    x = 7,942,686.12/3,099
  6. Step 6: Final answer
    x = 2,562.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.