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Finding the Fourth Proportional to 1,110.92, 1,534.74 and 1,102.28

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Solution

The fourth proportional to 1,110.92, 1,534.74 and 1,102.28 is: 1,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.92 : 1,534.74 = 1,102.28 : x
  2. Step 2: Convert to fraction form
    1,110.92/1,534.74 = 1,102.28/x
  3. Step 3: Cross multiply
    1,110.92x = 1,534.74 × 1,102.28
  4. Step 4: Simplify right side
    1,110.92x = 1,691,713.21
  5. Step 5: Solve for x
    x = 1,691,713.21/1,110.92
  6. Step 6: Final answer
    x = 1,522.80

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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.