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Finding the Fourth Proportional to 2,018.70, 2,786.00 and 1,134.72

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Solution

The fourth proportional to 2,018.70, 2,786.00 and 1,134.72 is: 1,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.70 : 2,786.00 = 1,134.72 : x
  2. Step 2: Convert to fraction form
    2,018.70/2,786.00 = 1,134.72/x
  3. Step 3: Cross multiply
    2,018.70x = 2,786.00 × 1,134.72
  4. Step 4: Simplify right side
    2,018.70x = 3,161,324.25
  5. Step 5: Solve for x
    x = 3,161,324.25/2,018.70
  6. Step 6: Final answer
    x = 1,566.02

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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.