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Finding the Fourth Proportional to 1,635.76, 2,450.26 and 1,088.20

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Solution

The fourth proportional to 1,635.76, 2,450.26 and 1,088.20 is: 1,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.76 : 2,450.26 = 1,088.20 : x
  2. Step 2: Convert to fraction form
    1,635.76/2,450.26 = 1,088.20/x
  3. Step 3: Cross multiply
    1,635.76x = 2,450.26 × 1,088.20
  4. Step 4: Simplify right side
    1,635.76x = 2,666,372.93
  5. Step 5: Solve for x
    x = 2,666,372.93/1,635.76
  6. Step 6: Final answer
    x = 1,630.05

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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.