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Finding the Fourth Proportional to 2,031.72, 2,803.77 and 1,100.22

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Solution

The fourth proportional to 2,031.72, 2,803.77 and 1,100.22 is: 1,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.72 : 2,803.77 = 1,100.22 : x
  2. Step 2: Convert to fraction form
    2,031.72/2,803.77 = 1,100.22/x
  3. Step 3: Cross multiply
    2,031.72x = 2,803.77 × 1,100.22
  4. Step 4: Simplify right side
    2,031.72x = 3,084,763.83
  5. Step 5: Solve for x
    x = 3,084,763.83/2,031.72
  6. Step 6: Final answer
    x = 1,518.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.