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Finding the Fourth Proportional to 2,853.70, 3,938.62 and 1,658.85

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Solution

The fourth proportional to 2,853.70, 3,938.62 and 1,658.85 is: 2,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.70 : 3,938.62 = 1,658.85 : x
  2. Step 2: Convert to fraction form
    2,853.70/3,938.62 = 1,658.85/x
  3. Step 3: Cross multiply
    2,853.70x = 3,938.62 × 1,658.85
  4. Step 4: Simplify right side
    2,853.70x = 6,533,560.09
  5. Step 5: Solve for x
    x = 6,533,560.09/2,853.70
  6. Step 6: Final answer
    x = 2,289.51

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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.