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Finding the Fourth Proportional to 2,878.96, 4,315.20 and 1,415.04

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Solution

The fourth proportional to 2,878.96, 4,315.20 and 1,415.04 is: 2,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.96 : 4,315.20 = 1,415.04 : x
  2. Step 2: Convert to fraction form
    2,878.96/4,315.20 = 1,415.04/x
  3. Step 3: Cross multiply
    2,878.96x = 4,315.20 × 1,415.04
  4. Step 4: Simplify right side
    2,878.96x = 6,106,180.61
  5. Step 5: Solve for x
    x = 6,106,180.61/2,878.96
  6. Step 6: Final answer
    x = 2,120.97

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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.