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Finding the Fourth Proportional to 2,317.83, 3,478.32 and 857.04

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Solution

The fourth proportional to 2,317.83, 3,478.32 and 857.04 is: 1,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.83 : 3,478.32 = 857.04 : x
  2. Step 2: Convert to fraction form
    2,317.83/3,478.32 = 857.04/x
  3. Step 3: Cross multiply
    2,317.83x = 3,478.32 × 857.04
  4. Step 4: Simplify right side
    2,317.83x = 2,981,059.37
  5. Step 5: Solve for x
    x = 2,981,059.37/2,317.83
  6. Step 6: Final answer
    x = 1,286.14

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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.