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Finding the Fourth Proportional to 2,451.57, 3,675.53 and 1,477.44

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Solution

The fourth proportional to 2,451.57, 3,675.53 and 1,477.44 is: 2,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.57 : 3,675.53 = 1,477.44 : x
  2. Step 2: Convert to fraction form
    2,451.57/3,675.53 = 1,477.44/x
  3. Step 3: Cross multiply
    2,451.57x = 3,675.53 × 1,477.44
  4. Step 4: Simplify right side
    2,451.57x = 5,430,370.43
  5. Step 5: Solve for x
    x = 5,430,370.43/2,451.57
  6. Step 6: Final answer
    x = 2,215.06

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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.