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Finding the Fourth Proportional to 2,658.24, 3,668.64 and 1,610.40

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Solution

The fourth proportional to 2,658.24, 3,668.64 and 1,610.40 is: 2,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.24 : 3,668.64 = 1,610.40 : x
  2. Step 2: Convert to fraction form
    2,658.24/3,668.64 = 1,610.40/x
  3. Step 3: Cross multiply
    2,658.24x = 3,668.64 × 1,610.40
  4. Step 4: Simplify right side
    2,658.24x = 5,907,977.86
  5. Step 5: Solve for x
    x = 5,907,977.86/2,658.24
  6. Step 6: Final answer
    x = 2,222.51

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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.