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Finding the Fourth Proportional to 2,146.83, 2,962.33 and 1,202.64

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Solution

The fourth proportional to 2,146.83, 2,962.33 and 1,202.64 is: 1,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.83 : 2,962.33 = 1,202.64 : x
  2. Step 2: Convert to fraction form
    2,146.83/2,962.33 = 1,202.64/x
  3. Step 3: Cross multiply
    2,146.83x = 2,962.33 × 1,202.64
  4. Step 4: Simplify right side
    2,146.83x = 3,562,616.55
  5. Step 5: Solve for x
    x = 3,562,616.55/2,146.83
  6. Step 6: Final answer
    x = 1,659.48

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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.