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Finding the Fourth Proportional to 2,878.24, 3,970.56 and 1,698.88

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Solution

The fourth proportional to 2,878.24, 3,970.56 and 1,698.88 is: 2,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.24 : 3,970.56 = 1,698.88 : x
  2. Step 2: Convert to fraction form
    2,878.24/3,970.56 = 1,698.88/x
  3. Step 3: Cross multiply
    2,878.24x = 3,970.56 × 1,698.88
  4. Step 4: Simplify right side
    2,878.24x = 6,745,504.97
  5. Step 5: Solve for x
    x = 6,745,504.97/2,878.24
  6. Step 6: Final answer
    x = 2,343.62

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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.