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Finding the Fourth Proportional to 2,878.49, 3,970.46 and 1,884.96

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Solution

The fourth proportional to 2,878.49, 3,970.46 and 1,884.96 is: 2,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.49 : 3,970.46 = 1,884.96 : x
  2. Step 2: Convert to fraction form
    2,878.49/3,970.46 = 1,884.96/x
  3. Step 3: Cross multiply
    2,878.49x = 3,970.46 × 1,884.96
  4. Step 4: Simplify right side
    2,878.49x = 7,484,148.86
  5. Step 5: Solve for x
    x = 7,484,148.86/2,878.49
  6. Step 6: Final answer
    x = 2,600.03

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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.