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Finding the Fourth Proportional to 2,914.79, 4,024.08 and 1,919.70

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Solution

The fourth proportional to 2,914.79, 4,024.08 and 1,919.70 is: 2,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.79 : 4,024.08 = 1,919.70 : x
  2. Step 2: Convert to fraction form
    2,914.79/4,024.08 = 1,919.70/x
  3. Step 3: Cross multiply
    2,914.79x = 4,024.08 × 1,919.70
  4. Step 4: Simplify right side
    2,914.79x = 7,725,026.38
  5. Step 5: Solve for x
    x = 7,725,026.38/2,914.79
  6. Step 6: Final answer
    x = 2,650.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.