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Finding the Fourth Proportional to 2,018.52, 2,785.70 and 1,222.04

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Solution

The fourth proportional to 2,018.52, 2,785.70 and 1,222.04 is: 1,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.52 : 2,785.70 = 1,222.04 : x
  2. Step 2: Convert to fraction form
    2,018.52/2,785.70 = 1,222.04/x
  3. Step 3: Cross multiply
    2,018.52x = 2,785.70 × 1,222.04
  4. Step 4: Simplify right side
    2,018.52x = 3,404,236.83
  5. Step 5: Solve for x
    x = 3,404,236.83/2,018.52
  6. Step 6: Final answer
    x = 1,686.50

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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.