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Finding the Fourth Proportional to 1,807.90, 2,709.36 and 881.62

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Solution

The fourth proportional to 1,807.90, 2,709.36 and 881.62 is: 1,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.90 : 2,709.36 = 881.62 : x
  2. Step 2: Convert to fraction form
    1,807.90/2,709.36 = 881.62/x
  3. Step 3: Cross multiply
    1,807.90x = 2,709.36 × 881.62
  4. Step 4: Simplify right side
    1,807.90x = 2,388,625.96
  5. Step 5: Solve for x
    x = 2,388,625.96/1,807.90
  6. Step 6: Final answer
    x = 1,321.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.