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Finding the Fourth Proportional to 2,062.52, 2,845.13 and 1,222.42

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Solution

The fourth proportional to 2,062.52, 2,845.13 and 1,222.42 is: 1,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.52 : 2,845.13 = 1,222.42 : x
  2. Step 2: Convert to fraction form
    2,062.52/2,845.13 = 1,222.42/x
  3. Step 3: Cross multiply
    2,062.52x = 2,845.13 × 1,222.42
  4. Step 4: Simplify right side
    2,062.52x = 3,477,928.06
  5. Step 5: Solve for x
    x = 3,477,928.06/2,062.52
  6. Step 6: Final answer
    x = 1,686.25

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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.