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Finding the Fourth Proportional to 1,861.13, 2,790.93 and 691.20

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Solution

The fourth proportional to 1,861.13, 2,790.93 and 691.20 is: 1,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.13 : 2,790.93 = 691.20 : x
  2. Step 2: Convert to fraction form
    1,861.13/2,790.93 = 691.20/x
  3. Step 3: Cross multiply
    1,861.13x = 2,790.93 × 691.20
  4. Step 4: Simplify right side
    1,861.13x = 1,929,090.82
  5. Step 5: Solve for x
    x = 1,929,090.82/1,861.13
  6. Step 6: Final answer
    x = 1,036.52

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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.