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Finding the Fourth Proportional to 2,018.64, 3,013.17 and 1,785.36

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Solution

The fourth proportional to 2,018.64, 3,013.17 and 1,785.36 is: 2,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.64 : 3,013.17 = 1,785.36 : x
  2. Step 2: Convert to fraction form
    2,018.64/3,013.17 = 1,785.36/x
  3. Step 3: Cross multiply
    2,018.64x = 3,013.17 × 1,785.36
  4. Step 4: Simplify right side
    2,018.64x = 5,379,593.19
  5. Step 5: Solve for x
    x = 5,379,593.19/2,018.64
  6. Step 6: Final answer
    x = 2,664.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.