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Finding the Fourth Proportional to 2,884.60, 4,329.78 and 1,586.68

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Solution

The fourth proportional to 2,884.60, 4,329.78 and 1,586.68 is: 2,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.60 : 4,329.78 = 1,586.68 : x
  2. Step 2: Convert to fraction form
    2,884.60/4,329.78 = 1,586.68/x
  3. Step 3: Cross multiply
    2,884.60x = 4,329.78 × 1,586.68
  4. Step 4: Simplify right side
    2,884.60x = 6,869,975.33
  5. Step 5: Solve for x
    x = 6,869,975.33/2,884.60
  6. Step 6: Final answer
    x = 2,381.60

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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.