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Finding the Fourth Proportional to 2,799.49, 3,862.78 and 1,588.17

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Solution

The fourth proportional to 2,799.49, 3,862.78 and 1,588.17 is: 2,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.49 : 3,862.78 = 1,588.17 : x
  2. Step 2: Convert to fraction form
    2,799.49/3,862.78 = 1,588.17/x
  3. Step 3: Cross multiply
    2,799.49x = 3,862.78 × 1,588.17
  4. Step 4: Simplify right side
    2,799.49x = 6,134,751.31
  5. Step 5: Solve for x
    x = 6,134,751.31/2,799.49
  6. Step 6: Final answer
    x = 2,191.38

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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.