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Finding the Fourth Proportional to 1,433.84, 1,992.26 and 1,418.60

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Solution

The fourth proportional to 1,433.84, 1,992.26 and 1,418.60 is: 1,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.84 : 1,992.26 = 1,418.60 : x
  2. Step 2: Convert to fraction form
    1,433.84/1,992.26 = 1,418.60/x
  3. Step 3: Cross multiply
    1,433.84x = 1,992.26 × 1,418.60
  4. Step 4: Simplify right side
    1,433.84x = 2,826,220.04
  5. Step 5: Solve for x
    x = 2,826,220.04/1,433.84
  6. Step 6: Final answer
    x = 1,971.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.