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Finding the Fourth Proportional to 1,408.41, 1,942.53 and 1,077.93

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Solution

The fourth proportional to 1,408.41, 1,942.53 and 1,077.93 is: 1,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.41 : 1,942.53 = 1,077.93 : x
  2. Step 2: Convert to fraction form
    1,408.41/1,942.53 = 1,077.93/x
  3. Step 3: Cross multiply
    1,408.41x = 1,942.53 × 1,077.93
  4. Step 4: Simplify right side
    1,408.41x = 2,093,911.36
  5. Step 5: Solve for x
    x = 2,093,911.36/1,408.41
  6. Step 6: Final answer
    x = 1,486.72

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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.