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Finding the Fourth Proportional to 1,658.05, 2,487.07 and 792.16

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Solution

The fourth proportional to 1,658.05, 2,487.07 and 792.16 is: 1,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.05 : 2,487.07 = 792.16 : x
  2. Step 2: Convert to fraction form
    1,658.05/2,487.07 = 792.16/x
  3. Step 3: Cross multiply
    1,658.05x = 2,487.07 × 792.16
  4. Step 4: Simplify right side
    1,658.05x = 1,970,157.37
  5. Step 5: Solve for x
    x = 1,970,157.37/1,658.05
  6. Step 6: Final answer
    x = 1,188.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.