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Finding the Fourth Proportional to 2,120.76, 2,924.55 and 1,617.90

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Solution

The fourth proportional to 2,120.76, 2,924.55 and 1,617.90 is: 2,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.76 : 2,924.55 = 1,617.90 : x
  2. Step 2: Convert to fraction form
    2,120.76/2,924.55 = 1,617.90/x
  3. Step 3: Cross multiply
    2,120.76x = 2,924.55 × 1,617.90
  4. Step 4: Simplify right side
    2,120.76x = 4,731,629.45
  5. Step 5: Solve for x
    x = 4,731,629.45/2,120.76
  6. Step 6: Final answer
    x = 2,231.10

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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.