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Finding the Fourth Proportional to 2,018.80, 2,786.17 and 1,122.63

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Solution

The fourth proportional to 2,018.80, 2,786.17 and 1,122.63 is: 1,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.80 : 2,786.17 = 1,122.63 : x
  2. Step 2: Convert to fraction form
    2,018.80/2,786.17 = 1,122.63/x
  3. Step 3: Cross multiply
    2,018.80x = 2,786.17 × 1,122.63
  4. Step 4: Simplify right side
    2,018.80x = 3,127,837.10
  5. Step 5: Solve for x
    x = 3,127,837.10/2,018.80
  6. Step 6: Final answer
    x = 1,549.36

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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.