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Finding the Fourth Proportional to 2,830.48, 3,906.23 and 1,768.91

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Solution

The fourth proportional to 2,830.48, 3,906.23 and 1,768.91 is: 2,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.48 : 3,906.23 = 1,768.91 : x
  2. Step 2: Convert to fraction form
    2,830.48/3,906.23 = 1,768.91/x
  3. Step 3: Cross multiply
    2,830.48x = 3,906.23 × 1,768.91
  4. Step 4: Simplify right side
    2,830.48x = 6,909,740.93
  5. Step 5: Solve for x
    x = 6,909,740.93/2,830.48
  6. Step 6: Final answer
    x = 2,441.19

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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.