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Finding the Fourth Proportional to 3,405.32, 4,698.78 and 2,008.34

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Solution

The fourth proportional to 3,405.32, 4,698.78 and 2,008.34 is: 2,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.32 : 4,698.78 = 2,008.34 : x
  2. Step 2: Convert to fraction form
    3,405.32/4,698.78 = 2,008.34/x
  3. Step 3: Cross multiply
    3,405.32x = 4,698.78 × 2,008.34
  4. Step 4: Simplify right side
    3,405.32x = 9,436,747.83
  5. Step 5: Solve for x
    x = 9,436,747.83/3,405.32
  6. Step 6: Final answer
    x = 2,771.18

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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.