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Finding the Fourth Proportional to 2,878.96, 3,967.86 and 2,479.60

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Solution

The fourth proportional to 2,878.96, 3,967.86 and 2,479.60 is: 3,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.96 : 3,967.86 = 2,479.60 : x
  2. Step 2: Convert to fraction form
    2,878.96/3,967.86 = 2,479.60/x
  3. Step 3: Cross multiply
    2,878.96x = 3,967.86 × 2,479.60
  4. Step 4: Simplify right side
    2,878.96x = 9,838,705.66
  5. Step 5: Solve for x
    x = 9,838,705.66/2,878.96
  6. Step 6: Final answer
    x = 3,417.45

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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.