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Finding the Fourth Proportional to 1,418.42, 2,137.28 and 1,180.28

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Solution

The fourth proportional to 1,418.42, 2,137.28 and 1,180.28 is: 1,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.42 : 2,137.28 = 1,180.28 : x
  2. Step 2: Convert to fraction form
    1,418.42/2,137.28 = 1,180.28/x
  3. Step 3: Cross multiply
    1,418.42x = 2,137.28 × 1,180.28
  4. Step 4: Simplify right side
    1,418.42x = 2,522,588.84
  5. Step 5: Solve for x
    x = 2,522,588.84/1,418.42
  6. Step 6: Final answer
    x = 1,778.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.