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Finding the Fourth Proportional to 2,265.56, 3,391.22 and 1,558.63

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Solution

The fourth proportional to 2,265.56, 3,391.22 and 1,558.63 is: 2,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.56 : 3,391.22 = 1,558.63 : x
  2. Step 2: Convert to fraction form
    2,265.56/3,391.22 = 1,558.63/x
  3. Step 3: Cross multiply
    2,265.56x = 3,391.22 × 1,558.63
  4. Step 4: Simplify right side
    2,265.56x = 5,285,657.23
  5. Step 5: Solve for x
    x = 5,285,657.23/2,265.56
  6. Step 6: Final answer
    x = 2,333.05

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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.