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Finding the Fourth Proportional to 2,078.88, 2,874.48 and 2,045.52

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Solution

The fourth proportional to 2,078.88, 2,874.48 and 2,045.52 is: 2,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.88 : 2,874.48 = 2,045.52 : x
  2. Step 2: Convert to fraction form
    2,078.88/2,874.48 = 2,045.52/x
  3. Step 3: Cross multiply
    2,078.88x = 2,874.48 × 2,045.52
  4. Step 4: Simplify right side
    2,078.88x = 5,879,806.33
  5. Step 5: Solve for x
    x = 5,879,806.33/2,078.88
  6. Step 6: Final answer
    x = 2,828.35

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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.