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Finding the Fourth Proportional to 2,327.28, 3,490.60 and 595.80

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Solution

The fourth proportional to 2,327.28, 3,490.60 and 595.80 is: 893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.28 : 3,490.60 = 595.80 : x
  2. Step 2: Convert to fraction form
    2,327.28/3,490.60 = 595.80/x
  3. Step 3: Cross multiply
    2,327.28x = 3,490.60 × 595.80
  4. Step 4: Simplify right side
    2,327.28x = 2,079,699.48
  5. Step 5: Solve for x
    x = 2,079,699.48/2,327.28
  6. Step 6: Final answer
    x = 893.62

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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.