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Finding the Fourth Proportional to 2,115.10, 2,919.01 and 1,230.96

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Solution

The fourth proportional to 2,115.10, 2,919.01 and 1,230.96 is: 1,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.10 : 2,919.01 = 1,230.96 : x
  2. Step 2: Convert to fraction form
    2,115.10/2,919.01 = 1,230.96/x
  3. Step 3: Cross multiply
    2,115.10x = 2,919.01 × 1,230.96
  4. Step 4: Simplify right side
    2,115.10x = 3,593,184.55
  5. Step 5: Solve for x
    x = 3,593,184.55/2,115.10
  6. Step 6: Final answer
    x = 1,698.82

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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.