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Finding the Fourth Proportional to 2,379.68, 3,285.08 and 1,594.24

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Solution

The fourth proportional to 2,379.68, 3,285.08 and 1,594.24 is: 2,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.68 : 3,285.08 = 1,594.24 : x
  2. Step 2: Convert to fraction form
    2,379.68/3,285.08 = 1,594.24/x
  3. Step 3: Cross multiply
    2,379.68x = 3,285.08 × 1,594.24
  4. Step 4: Simplify right side
    2,379.68x = 5,237,205.94
  5. Step 5: Solve for x
    x = 5,237,205.94/2,379.68
  6. Step 6: Final answer
    x = 2,200.80

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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.