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Finding the Fourth Proportional to 2,147.64, 2,962.62 and 1,622.76

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Solution

The fourth proportional to 2,147.64, 2,962.62 and 1,622.76 is: 2,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.64 : 2,962.62 = 1,622.76 : x
  2. Step 2: Convert to fraction form
    2,147.64/2,962.62 = 1,622.76/x
  3. Step 3: Cross multiply
    2,147.64x = 2,962.62 × 1,622.76
  4. Step 4: Simplify right side
    2,147.64x = 4,807,621.23
  5. Step 5: Solve for x
    x = 4,807,621.23/2,147.64
  6. Step 6: Final answer
    x = 2,238.56

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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.