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Finding the Fourth Proportional to 3,130.93, 4,695.67 and 939.37

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Solution

The fourth proportional to 3,130.93, 4,695.67 and 939.37 is: 1,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.93 : 4,695.67 = 939.37 : x
  2. Step 2: Convert to fraction form
    3,130.93/4,695.67 = 939.37/x
  3. Step 3: Cross multiply
    3,130.93x = 4,695.67 × 939.37
  4. Step 4: Simplify right side
    3,130.93x = 4,410,971.53
  5. Step 5: Solve for x
    x = 4,410,971.53/3,130.93
  6. Step 6: Final answer
    x = 1,408.84

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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.