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Finding the Fourth Proportional to 2,850.16, 4,275.24 and 2,276.68

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Solution

The fourth proportional to 2,850.16, 4,275.24 and 2,276.68 is: 3,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.16 : 4,275.24 = 2,276.68 : x
  2. Step 2: Convert to fraction form
    2,850.16/4,275.24 = 2,276.68/x
  3. Step 3: Cross multiply
    2,850.16x = 4,275.24 × 2,276.68
  4. Step 4: Simplify right side
    2,850.16x = 9,733,320.64
  5. Step 5: Solve for x
    x = 9,733,320.64/2,850.16
  6. Step 6: Final answer
    x = 3,415.01

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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.