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Finding the Fourth Proportional to 3,137.02, 4,704.78 and 945.22

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Solution

The fourth proportional to 3,137.02, 4,704.78 and 945.22 is: 1,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.02 : 4,704.78 = 945.22 : x
  2. Step 2: Convert to fraction form
    3,137.02/4,704.78 = 945.22/x
  3. Step 3: Cross multiply
    3,137.02x = 4,704.78 × 945.22
  4. Step 4: Simplify right side
    3,137.02x = 4,447,052.15
  5. Step 5: Solve for x
    x = 4,447,052.15/3,137.02
  6. Step 6: Final answer
    x = 1,417.60

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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.