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Finding the Fourth Proportional to 2,798.90, 3,863.70 and 1,805.79

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Solution

The fourth proportional to 2,798.90, 3,863.70 and 1,805.79 is: 2,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.90 : 3,863.70 = 1,805.79 : x
  2. Step 2: Convert to fraction form
    2,798.90/3,863.70 = 1,805.79/x
  3. Step 3: Cross multiply
    2,798.90x = 3,863.70 × 1,805.79
  4. Step 4: Simplify right side
    2,798.90x = 6,977,045.31
  5. Step 5: Solve for x
    x = 6,977,045.31/2,798.90
  6. Step 6: Final answer
    x = 2,492.78

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1.5x scale

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.