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Finding the Fourth Proportional to 2,916.62, 4,027.01 and 1,797.92

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Solution

The fourth proportional to 2,916.62, 4,027.01 and 1,797.92 is: 2,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.62 : 4,027.01 = 1,797.92 : x
  2. Step 2: Convert to fraction form
    2,916.62/4,027.01 = 1,797.92/x
  3. Step 3: Cross multiply
    2,916.62x = 4,027.01 × 1,797.92
  4. Step 4: Simplify right side
    2,916.62x = 7,240,226.18
  5. Step 5: Solve for x
    x = 7,240,226.18/2,916.62
  6. Step 6: Final answer
    x = 2,482.40

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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.