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Finding the Fourth Proportional to 2,562.83, 3,840.91 and 2,232.35

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Solution

The fourth proportional to 2,562.83, 3,840.91 and 2,232.35 is: 3,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.83 : 3,840.91 = 2,232.35 : x
  2. Step 2: Convert to fraction form
    2,562.83/3,840.91 = 2,232.35/x
  3. Step 3: Cross multiply
    2,562.83x = 3,840.91 × 2,232.35
  4. Step 4: Simplify right side
    2,562.83x = 8,574,255.44
  5. Step 5: Solve for x
    x = 8,574,255.44/2,562.83
  6. Step 6: Final answer
    x = 3,345.62

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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.