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Finding the Fourth Proportional to 2,328.80, 3,490.52 and 1,027.60

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Solution

The fourth proportional to 2,328.80, 3,490.52 and 1,027.60 is: 1,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.80 : 3,490.52 = 1,027.60 : x
  2. Step 2: Convert to fraction form
    2,328.80/3,490.52 = 1,027.60/x
  3. Step 3: Cross multiply
    2,328.80x = 3,490.52 × 1,027.60
  4. Step 4: Simplify right side
    2,328.80x = 3,586,858.35
  5. Step 5: Solve for x
    x = 3,586,858.35/2,328.80
  6. Step 6: Final answer
    x = 1,540.22

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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.