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Finding the Fourth Proportional to 3,340.32, 5,006.96 and 1,605.28

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Solution

The fourth proportional to 3,340.32, 5,006.96 and 1,605.28 is: 2,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.32 : 5,006.96 = 1,605.28 : x
  2. Step 2: Convert to fraction form
    3,340.32/5,006.96 = 1,605.28/x
  3. Step 3: Cross multiply
    3,340.32x = 5,006.96 × 1,605.28
  4. Step 4: Simplify right side
    3,340.32x = 8,037,572.75
  5. Step 5: Solve for x
    x = 8,037,572.75/3,340.32
  6. Step 6: Final answer
    x = 2,406.23

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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.