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Finding the Fourth Proportional to 3,391.30, 4,678.63 and 2,065.77

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Solution

The fourth proportional to 3,391.30, 4,678.63 and 2,065.77 is: 2,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.30 : 4,678.63 = 2,065.77 : x
  2. Step 2: Convert to fraction form
    3,391.30/4,678.63 = 2,065.77/x
  3. Step 3: Cross multiply
    3,391.30x = 4,678.63 × 2,065.77
  4. Step 4: Simplify right side
    3,391.30x = 9,664,968.33
  5. Step 5: Solve for x
    x = 9,664,968.33/3,391.30
  6. Step 6: Final answer
    x = 2,849.93

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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.