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Finding the Fourth Proportional to 3,130.86, 4,697.01 and 939.81

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Solution

The fourth proportional to 3,130.86, 4,697.01 and 939.81 is: 1,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.86 : 4,697.01 = 939.81 : x
  2. Step 2: Convert to fraction form
    3,130.86/4,697.01 = 939.81/x
  3. Step 3: Cross multiply
    3,130.86x = 4,697.01 × 939.81
  4. Step 4: Simplify right side
    3,130.86x = 4,414,296.97
  5. Step 5: Solve for x
    x = 4,414,296.97/3,130.86
  6. Step 6: Final answer
    x = 1,409.93

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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.