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Finding the Fourth Proportional to 3,163.42, 4,745.14 and 1,430.02

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Solution

The fourth proportional to 3,163.42, 4,745.14 and 1,430.02 is: 2,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.42 : 4,745.14 = 1,430.02 : x
  2. Step 2: Convert to fraction form
    3,163.42/4,745.14 = 1,430.02/x
  3. Step 3: Cross multiply
    3,163.42x = 4,745.14 × 1,430.02
  4. Step 4: Simplify right side
    3,163.42x = 6,785,645.10
  5. Step 5: Solve for x
    x = 6,785,645.10/3,163.42
  6. Step 6: Final answer
    x = 2,145.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.