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Finding the Fourth Proportional to 3,163.02, 4,365.14 and 1,837.14

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Solution

The fourth proportional to 3,163.02, 4,365.14 and 1,837.14 is: 2,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.02 : 4,365.14 = 1,837.14 : x
  2. Step 2: Convert to fraction form
    3,163.02/4,365.14 = 1,837.14/x
  3. Step 3: Cross multiply
    3,163.02x = 4,365.14 × 1,837.14
  4. Step 4: Simplify right side
    3,163.02x = 8,019,364.11
  5. Step 5: Solve for x
    x = 8,019,364.11/3,163.02
  6. Step 6: Final answer
    x = 2,535.35

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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.