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Finding the Fourth Proportional to 2,733.84, 4,102.13 and 1,091.77

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Solution

The fourth proportional to 2,733.84, 4,102.13 and 1,091.77 is: 1,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.84 : 4,102.13 = 1,091.77 : x
  2. Step 2: Convert to fraction form
    2,733.84/4,102.13 = 1,091.77/x
  3. Step 3: Cross multiply
    2,733.84x = 4,102.13 × 1,091.77
  4. Step 4: Simplify right side
    2,733.84x = 4,478,582.47
  5. Step 5: Solve for x
    x = 4,478,582.47/2,733.84
  6. Step 6: Final answer
    x = 1,638.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.