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Finding the Fourth Proportional to 2,006.80, 2,778.60 and 1,904.40

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Solution

The fourth proportional to 2,006.80, 2,778.60 and 1,904.40 is: 2,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.80 : 2,778.60 = 1,904.40 : x
  2. Step 2: Convert to fraction form
    2,006.80/2,778.60 = 1,904.40/x
  3. Step 3: Cross multiply
    2,006.80x = 2,778.60 × 1,904.40
  4. Step 4: Simplify right side
    2,006.80x = 5,291,565.84
  5. Step 5: Solve for x
    x = 5,291,565.84/2,006.80
  6. Step 6: Final answer
    x = 2,636.82

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