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Finding the Fourth Proportional to 1,408.01, 1,942.16 and 935.89

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Solution

The fourth proportional to 1,408.01, 1,942.16 and 935.89 is: 1,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.01 : 1,942.16 = 935.89 : x
  2. Step 2: Convert to fraction form
    1,408.01/1,942.16 = 935.89/x
  3. Step 3: Cross multiply
    1,408.01x = 1,942.16 × 935.89
  4. Step 4: Simplify right side
    1,408.01x = 1,817,638.59
  5. Step 5: Solve for x
    x = 1,817,638.59/1,408.01
  6. Step 6: Final answer
    x = 1,290.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.