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Finding the Fourth Proportional to 3,405.10, 4,699.48 and 2,078.78

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Solution

The fourth proportional to 3,405.10, 4,699.48 and 2,078.78 is: 2,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.10 : 4,699.48 = 2,078.78 : x
  2. Step 2: Convert to fraction form
    3,405.10/4,699.48 = 2,078.78/x
  3. Step 3: Cross multiply
    3,405.10x = 4,699.48 × 2,078.78
  4. Step 4: Simplify right side
    3,405.10x = 9,769,185.03
  5. Step 5: Solve for x
    x = 9,769,185.03/3,405.10
  6. Step 6: Final answer
    x = 2,868.99

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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.