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Finding the Fourth Proportional to 2,059.35, 3,088.22 and 889.35

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Solution

The fourth proportional to 2,059.35, 3,088.22 and 889.35 is: 1,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.35 : 3,088.22 = 889.35 : x
  2. Step 2: Convert to fraction form
    2,059.35/3,088.22 = 889.35/x
  3. Step 3: Cross multiply
    2,059.35x = 3,088.22 × 889.35
  4. Step 4: Simplify right side
    2,059.35x = 2,746,504.01
  5. Step 5: Solve for x
    x = 2,746,504.01/2,059.35
  6. Step 6: Final answer
    x = 1,333.68

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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.