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Finding the Fourth Proportional to 1,408.84, 1,946.04 and 1,081.31

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Solution

The fourth proportional to 1,408.84, 1,946.04 and 1,081.31 is: 1,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.84 : 1,946.04 = 1,081.31 : x
  2. Step 2: Convert to fraction form
    1,408.84/1,946.04 = 1,081.31/x
  3. Step 3: Cross multiply
    1,408.84x = 1,946.04 × 1,081.31
  4. Step 4: Simplify right side
    1,408.84x = 2,104,272.51
  5. Step 5: Solve for x
    x = 2,104,272.51/1,408.84
  6. Step 6: Final answer
    x = 1,493.62

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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.