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Finding the Fourth Proportional to 2,508.83, 3,759.66 and 1,410.89

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Solution

The fourth proportional to 2,508.83, 3,759.66 and 1,410.89 is: 2,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.83 : 3,759.66 = 1,410.89 : x
  2. Step 2: Convert to fraction form
    2,508.83/3,759.66 = 1,410.89/x
  3. Step 3: Cross multiply
    2,508.83x = 3,759.66 × 1,410.89
  4. Step 4: Simplify right side
    2,508.83x = 5,304,466.70
  5. Step 5: Solve for x
    x = 5,304,466.70/2,508.83
  6. Step 6: Final answer
    x = 2,114.32

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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.