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Finding the Fourth Proportional to 1,658.22, 2,286.95 and 1,284.54

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Solution

The fourth proportional to 1,658.22, 2,286.95 and 1,284.54 is: 1,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.22 : 2,286.95 = 1,284.54 : x
  2. Step 2: Convert to fraction form
    1,658.22/2,286.95 = 1,284.54/x
  3. Step 3: Cross multiply
    1,658.22x = 2,286.95 × 1,284.54
  4. Step 4: Simplify right side
    1,658.22x = 2,937,672.33
  5. Step 5: Solve for x
    x = 2,937,672.33/1,658.22
  6. Step 6: Final answer
    x = 1,771.58

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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.