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Finding the Fourth Proportional to 2,878.93, 3,972.90 and 1,636.93

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Solution

The fourth proportional to 2,878.93, 3,972.90 and 1,636.93 is: 2,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.93 : 3,972.90 = 1,636.93 : x
  2. Step 2: Convert to fraction form
    2,878.93/3,972.90 = 1,636.93/x
  3. Step 3: Cross multiply
    2,878.93x = 3,972.90 × 1,636.93
  4. Step 4: Simplify right side
    2,878.93x = 6,503,339.33
  5. Step 5: Solve for x
    x = 6,503,339.33/2,878.93
  6. Step 6: Final answer
    x = 2,258.95

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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.