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Finding the Fourth Proportional to 2,894.31, 4,341.69 and 814.32

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Solution

The fourth proportional to 2,894.31, 4,341.69 and 814.32 is: 1,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.31 : 4,341.69 = 814.32 : x
  2. Step 2: Convert to fraction form
    2,894.31/4,341.69 = 814.32/x
  3. Step 3: Cross multiply
    2,894.31x = 4,341.69 × 814.32
  4. Step 4: Simplify right side
    2,894.31x = 3,535,525.00
  5. Step 5: Solve for x
    x = 3,535,525.00/2,894.31
  6. Step 6: Final answer
    x = 1,221.54

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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.