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Finding the Fourth Proportional to 2,504.96, 3,758.77 and 1,409.40

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Solution

The fourth proportional to 2,504.96, 3,758.77 and 1,409.40 is: 2,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.96 : 3,758.77 = 1,409.40 : x
  2. Step 2: Convert to fraction form
    2,504.96/3,758.77 = 1,409.40/x
  3. Step 3: Cross multiply
    2,504.96x = 3,758.77 × 1,409.40
  4. Step 4: Simplify right side
    2,504.96x = 5,297,612.20
  5. Step 5: Solve for x
    x = 5,297,612.20/2,504.96
  6. Step 6: Final answer
    x = 2,114.85

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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.