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Finding the Fourth Proportional to 3,121.06, 4,682.52 and 929.86

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Solution

The fourth proportional to 3,121.06, 4,682.52 and 929.86 is: 1,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.06 : 4,682.52 = 929.86 : x
  2. Step 2: Convert to fraction form
    3,121.06/4,682.52 = 929.86/x
  3. Step 3: Cross multiply
    3,121.06x = 4,682.52 × 929.86
  4. Step 4: Simplify right side
    3,121.06x = 4,354,088.05
  5. Step 5: Solve for x
    x = 4,354,088.05/3,121.06
  6. Step 6: Final answer
    x = 1,395.07

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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.