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Finding the Fourth Proportional to 2,392.58, 3,563.62 and 2,285.96

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Solution

The fourth proportional to 2,392.58, 3,563.62 and 2,285.96 is: 3,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.58 : 3,563.62 = 2,285.96 : x
  2. Step 2: Convert to fraction form
    2,392.58/3,563.62 = 2,285.96/x
  3. Step 3: Cross multiply
    2,392.58x = 3,563.62 × 2,285.96
  4. Step 4: Simplify right side
    2,392.58x = 8,146,292.78
  5. Step 5: Solve for x
    x = 8,146,292.78/2,392.58
  6. Step 6: Final answer
    x = 3,404.82

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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.