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Finding the Fourth Proportional to 1,807.29, 2,709.90 and 832.17

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Solution

The fourth proportional to 1,807.29, 2,709.90 and 832.17 is: 1,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.29 : 2,709.90 = 832.17 : x
  2. Step 2: Convert to fraction form
    1,807.29/2,709.90 = 832.17/x
  3. Step 3: Cross multiply
    1,807.29x = 2,709.90 × 832.17
  4. Step 4: Simplify right side
    1,807.29x = 2,255,097.48
  5. Step 5: Solve for x
    x = 2,255,097.48/1,807.29
  6. Step 6: Final answer
    x = 1,247.78

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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.