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Finding the Fourth Proportional to 1,989.82, 2,746.03 and 1,105.63

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Solution

The fourth proportional to 1,989.82, 2,746.03 and 1,105.63 is: 1,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.82 : 2,746.03 = 1,105.63 : x
  2. Step 2: Convert to fraction form
    1,989.82/2,746.03 = 1,105.63/x
  3. Step 3: Cross multiply
    1,989.82x = 2,746.03 × 1,105.63
  4. Step 4: Simplify right side
    1,989.82x = 3,036,079.42
  5. Step 5: Solve for x
    x = 3,036,079.42/1,989.82
  6. Step 6: Final answer
    x = 1,525.81

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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.