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Finding the Fourth Proportional to 1,192.90, 1,798.30 and 1,113.62

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Solution

The fourth proportional to 1,192.90, 1,798.30 and 1,113.62 is: 1,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.90 : 1,798.30 = 1,113.62 : x
  2. Step 2: Convert to fraction form
    1,192.90/1,798.30 = 1,113.62/x
  3. Step 3: Cross multiply
    1,192.90x = 1,798.30 × 1,113.62
  4. Step 4: Simplify right side
    1,192.90x = 2,002,622.85
  5. Step 5: Solve for x
    x = 2,002,622.85/1,192.90
  6. Step 6: Final answer
    x = 1,678.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.