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Finding the Fourth Proportional to 2,878.52, 3,970.86 and 2,178.68

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Solution

The fourth proportional to 2,878.52, 3,970.86 and 2,178.68 is: 3,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.52 : 3,970.86 = 2,178.68 : x
  2. Step 2: Convert to fraction form
    2,878.52/3,970.86 = 2,178.68/x
  3. Step 3: Cross multiply
    2,878.52x = 3,970.86 × 2,178.68
  4. Step 4: Simplify right side
    2,878.52x = 8,651,233.26
  5. Step 5: Solve for x
    x = 8,651,233.26/2,878.52
  6. Step 6: Final answer
    x = 3,005.44

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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.