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Finding the Fourth Proportional to 1,138.56, 1,693.21 and 1,102.11

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Solution

The fourth proportional to 1,138.56, 1,693.21 and 1,102.11 is: 1,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.56 : 1,693.21 = 1,102.11 : x
  2. Step 2: Convert to fraction form
    1,138.56/1,693.21 = 1,102.11/x
  3. Step 3: Cross multiply
    1,138.56x = 1,693.21 × 1,102.11
  4. Step 4: Simplify right side
    1,138.56x = 1,866,100.92
  5. Step 5: Solve for x
    x = 1,866,100.92/1,138.56
  6. Step 6: Final answer
    x = 1,639.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.