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Finding the Fourth Proportional to 2,078.85, 2,883.51 and 2,004.04

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Solution

The fourth proportional to 2,078.85, 2,883.51 and 2,004.04 is: 2,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.85 : 2,883.51 = 2,004.04 : x
  2. Step 2: Convert to fraction form
    2,078.85/2,883.51 = 2,004.04/x
  3. Step 3: Cross multiply
    2,078.85x = 2,883.51 × 2,004.04
  4. Step 4: Simplify right side
    2,078.85x = 5,778,669.38
  5. Step 5: Solve for x
    x = 5,778,669.38/2,078.85
  6. Step 6: Final answer
    x = 2,779.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.