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Finding the Fourth Proportional to 2,115.68, 2,919.44 and 1,184.16

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Solution

The fourth proportional to 2,115.68, 2,919.44 and 1,184.16 is: 1,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.68 : 2,919.44 = 1,184.16 : x
  2. Step 2: Convert to fraction form
    2,115.68/2,919.44 = 1,184.16/x
  3. Step 3: Cross multiply
    2,115.68x = 2,919.44 × 1,184.16
  4. Step 4: Simplify right side
    2,115.68x = 3,457,084.07
  5. Step 5: Solve for x
    x = 3,457,084.07/2,115.68
  6. Step 6: Final answer
    x = 1,634.03

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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.