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Finding the Fourth Proportional to 1,427.60, 2,144.04 and 854

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Solution

The fourth proportional to 1,427.60, 2,144.04 and 854 is: 1,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.60 : 2,144.04 = 854 : x
  2. Step 2: Convert to fraction form
    1,427.60/2,144.04 = 854/x
  3. Step 3: Cross multiply
    1,427.60x = 2,144.04 × 854
  4. Step 4: Simplify right side
    1,427.60x = 1,831,010.16
  5. Step 5: Solve for x
    x = 1,831,010.16/1,427.60
  6. Step 6: Final answer
    x = 1,282.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.