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Finding the Fourth Proportional to 3,406.98, 4,701.54 and 1,914.96

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Solution

The fourth proportional to 3,406.98, 4,701.54 and 1,914.96 is: 2,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.98 : 4,701.54 = 1,914.96 : x
  2. Step 2: Convert to fraction form
    3,406.98/4,701.54 = 1,914.96/x
  3. Step 3: Cross multiply
    3,406.98x = 4,701.54 × 1,914.96
  4. Step 4: Simplify right side
    3,406.98x = 9,003,261.04
  5. Step 5: Solve for x
    x = 9,003,261.04/3,406.98
  6. Step 6: Final answer
    x = 2,642.59

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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.