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Finding the Fourth Proportional to 2,157.22, 2,976.98 and 1,410.73

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Solution

The fourth proportional to 2,157.22, 2,976.98 and 1,410.73 is: 1,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.22 : 2,976.98 = 1,410.73 : x
  2. Step 2: Convert to fraction form
    2,157.22/2,976.98 = 1,410.73/x
  3. Step 3: Cross multiply
    2,157.22x = 2,976.98 × 1,410.73
  4. Step 4: Simplify right side
    2,157.22x = 4,199,715.00
  5. Step 5: Solve for x
    x = 4,199,715.00/2,157.22
  6. Step 6: Final answer
    x = 1,946.82

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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.