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Finding the Fourth Proportional to 2,392.59, 3,596.20 and 1,984.35

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Solution

The fourth proportional to 2,392.59, 3,596.20 and 1,984.35 is: 2,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.59 : 3,596.20 = 1,984.35 : x
  2. Step 2: Convert to fraction form
    2,392.59/3,596.20 = 1,984.35/x
  3. Step 3: Cross multiply
    2,392.59x = 3,596.20 × 1,984.35
  4. Step 4: Simplify right side
    2,392.59x = 7,136,096.53
  5. Step 5: Solve for x
    x = 7,136,096.53/2,392.59
  6. Step 6: Final answer
    x = 2,982.59

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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.