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Finding the Fourth Proportional to 2,878.44, 4,315.20 and 1,148.28

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Solution

The fourth proportional to 2,878.44, 4,315.20 and 1,148.28 is: 1,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.44 : 4,315.20 = 1,148.28 : x
  2. Step 2: Convert to fraction form
    2,878.44/4,315.20 = 1,148.28/x
  3. Step 3: Cross multiply
    2,878.44x = 4,315.20 × 1,148.28
  4. Step 4: Simplify right side
    2,878.44x = 4,955,057.86
  5. Step 5: Solve for x
    x = 4,955,057.86/2,878.44
  6. Step 6: Final answer
    x = 1,721.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.