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Finding the Fourth Proportional to 2,164.83, 3,246.89 and 931.91

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Solution

The fourth proportional to 2,164.83, 3,246.89 and 931.91 is: 1,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.83 : 3,246.89 = 931.91 : x
  2. Step 2: Convert to fraction form
    2,164.83/3,246.89 = 931.91/x
  3. Step 3: Cross multiply
    2,164.83x = 3,246.89 × 931.91
  4. Step 4: Simplify right side
    2,164.83x = 3,025,788.37
  5. Step 5: Solve for x
    x = 3,025,788.37/2,164.83
  6. Step 6: Final answer
    x = 1,397.70

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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.