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Finding the Fourth Proportional to 2,853.84, 4,272.87 and 1,464.18

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Solution

The fourth proportional to 2,853.84, 4,272.87 and 1,464.18 is: 2,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.84 : 4,272.87 = 1,464.18 : x
  2. Step 2: Convert to fraction form
    2,853.84/4,272.87 = 1,464.18/x
  3. Step 3: Cross multiply
    2,853.84x = 4,272.87 × 1,464.18
  4. Step 4: Simplify right side
    2,853.84x = 6,256,250.80
  5. Step 5: Solve for x
    x = 6,256,250.80/2,853.84
  6. Step 6: Final answer
    x = 2,192.22

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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.