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Finding the Fourth Proportional to 2,504.91, 3,759.30 and 1,410.24

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Solution

The fourth proportional to 2,504.91, 3,759.30 and 1,410.24 is: 2,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.91 : 3,759.30 = 1,410.24 : x
  2. Step 2: Convert to fraction form
    2,504.91/3,759.30 = 1,410.24/x
  3. Step 3: Cross multiply
    2,504.91x = 3,759.30 × 1,410.24
  4. Step 4: Simplify right side
    2,504.91x = 5,301,515.23
  5. Step 5: Solve for x
    x = 5,301,515.23/2,504.91
  6. Step 6: Final answer
    x = 2,116.45

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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.