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Finding the Fourth Proportional to 2,878.53, 4,318.08 and 1,146.75

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Solution

The fourth proportional to 2,878.53, 4,318.08 and 1,146.75 is: 1,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.53 : 4,318.08 = 1,146.75 : x
  2. Step 2: Convert to fraction form
    2,878.53/4,318.08 = 1,146.75/x
  3. Step 3: Cross multiply
    2,878.53x = 4,318.08 × 1,146.75
  4. Step 4: Simplify right side
    2,878.53x = 4,951,758.24
  5. Step 5: Solve for x
    x = 4,951,758.24/2,878.53
  6. Step 6: Final answer
    x = 1,720.24

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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.