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Finding the Fourth Proportional to 2,917.42, 4,026.17 and 1,658.54

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Solution

The fourth proportional to 2,917.42, 4,026.17 and 1,658.54 is: 2,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.42 : 4,026.17 = 1,658.54 : x
  2. Step 2: Convert to fraction form
    2,917.42/4,026.17 = 1,658.54/x
  3. Step 3: Cross multiply
    2,917.42x = 4,026.17 × 1,658.54
  4. Step 4: Simplify right side
    2,917.42x = 6,677,563.99
  5. Step 5: Solve for x
    x = 6,677,563.99/2,917.42
  6. Step 6: Final answer
    x = 2,288.86

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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.