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Finding the Fourth Proportional to 3,129.02, 4,692.19 and 937.16

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Solution

The fourth proportional to 3,129.02, 4,692.19 and 937.16 is: 1,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.02 : 4,692.19 = 937.16 : x
  2. Step 2: Convert to fraction form
    3,129.02/4,692.19 = 937.16/x
  3. Step 3: Cross multiply
    3,129.02x = 4,692.19 × 937.16
  4. Step 4: Simplify right side
    3,129.02x = 4,397,332.78
  5. Step 5: Solve for x
    x = 4,397,332.78/3,129.02
  6. Step 6: Final answer
    x = 1,405.34

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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.