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Finding the Fourth Proportional to 2,919.16, 4,376.24 and 1,274.50

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Solution

The fourth proportional to 2,919.16, 4,376.24 and 1,274.50 is: 1,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.16 : 4,376.24 = 1,274.50 : x
  2. Step 2: Convert to fraction form
    2,919.16/4,376.24 = 1,274.50/x
  3. Step 3: Cross multiply
    2,919.16x = 4,376.24 × 1,274.50
  4. Step 4: Simplify right side
    2,919.16x = 5,577,489.63
  5. Step 5: Solve for x
    x = 5,577,489.63/2,919.16
  6. Step 6: Final answer
    x = 1,910.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.