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Finding the Fourth Proportional to 1,418.28, 2,127.42 and 840.84

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Solution

The fourth proportional to 1,418.28, 2,127.42 and 840.84 is: 1,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.28 : 2,127.42 = 840.84 : x
  2. Step 2: Convert to fraction form
    1,418.28/2,127.42 = 840.84/x
  3. Step 3: Cross multiply
    1,418.28x = 2,127.42 × 840.84
  4. Step 4: Simplify right side
    1,418.28x = 1,788,819.83
  5. Step 5: Solve for x
    x = 1,788,819.83/1,418.28
  6. Step 6: Final answer
    x = 1,261.26

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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.