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Finding the Fourth Proportional to 2,878.13, 4,316.14 and 1,028.74

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Solution

The fourth proportional to 2,878.13, 4,316.14 and 1,028.74 is: 1,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.13 : 4,316.14 = 1,028.74 : x
  2. Step 2: Convert to fraction form
    2,878.13/4,316.14 = 1,028.74/x
  3. Step 3: Cross multiply
    2,878.13x = 4,316.14 × 1,028.74
  4. Step 4: Simplify right side
    2,878.13x = 4,440,185.86
  5. Step 5: Solve for x
    x = 4,440,185.86/2,878.13
  6. Step 6: Final answer
    x = 1,542.73

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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.