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Finding the Fourth Proportional to 2,322.85, 3,201.10 and 1,658.55

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Solution

The fourth proportional to 2,322.85, 3,201.10 and 1,658.55 is: 2,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.85 : 3,201.10 = 1,658.55 : x
  2. Step 2: Convert to fraction form
    2,322.85/3,201.10 = 1,658.55/x
  3. Step 3: Cross multiply
    2,322.85x = 3,201.10 × 1,658.55
  4. Step 4: Simplify right side
    2,322.85x = 5,309,192.59
  5. Step 5: Solve for x
    x = 5,309,192.59/2,322.85
  6. Step 6: Final answer
    x = 2,285.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.