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Finding the Fourth Proportional to 2,314.00, 3,470.14 and 832.83

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Solution

The fourth proportional to 2,314.00, 3,470.14 and 832.83 is: 1,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.00 : 3,470.14 = 832.83 : x
  2. Step 2: Convert to fraction form
    2,314.00/3,470.14 = 832.83/x
  3. Step 3: Cross multiply
    2,314.00x = 3,470.14 × 832.83
  4. Step 4: Simplify right side
    2,314.00x = 2,890,024.72
  5. Step 5: Solve for x
    x = 2,890,024.72/2,314.00
  6. Step 6: Final answer
    x = 1,248.93

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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.