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Finding the Fourth Proportional to 2,779.84, 3,836.07 and 1,600.90

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Solution

The fourth proportional to 2,779.84, 3,836.07 and 1,600.90 is: 2,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.84 : 3,836.07 = 1,600.90 : x
  2. Step 2: Convert to fraction form
    2,779.84/3,836.07 = 1,600.90/x
  3. Step 3: Cross multiply
    2,779.84x = 3,836.07 × 1,600.90
  4. Step 4: Simplify right side
    2,779.84x = 6,141,164.46
  5. Step 5: Solve for x
    x = 6,141,164.46/2,779.84
  6. Step 6: Final answer
    x = 2,209.18

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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.