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Finding the Fourth Proportional to 2,478.19, 3,709.98 and 1,654.42

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Solution

The fourth proportional to 2,478.19, 3,709.98 and 1,654.42 is: 2,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.19 : 3,709.98 = 1,654.42 : x
  2. Step 2: Convert to fraction form
    2,478.19/3,709.98 = 1,654.42/x
  3. Step 3: Cross multiply
    2,478.19x = 3,709.98 × 1,654.42
  4. Step 4: Simplify right side
    2,478.19x = 6,137,846.56
  5. Step 5: Solve for x
    x = 6,137,846.56/2,478.19
  6. Step 6: Final answer
    x = 2,476.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.