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Finding the Fourth Proportional to 2,752.50, 3,790.68 and 2,506.44

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Solution

The fourth proportional to 2,752.50, 3,790.68 and 2,506.44 is: 3,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.50 : 3,790.68 = 2,506.44 : x
  2. Step 2: Convert to fraction form
    2,752.50/3,790.68 = 2,506.44/x
  3. Step 3: Cross multiply
    2,752.50x = 3,790.68 × 2,506.44
  4. Step 4: Simplify right side
    2,752.50x = 9,501,111.98
  5. Step 5: Solve for x
    x = 9,501,111.98/2,752.50
  6. Step 6: Final answer
    x = 3,451.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.