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Finding the Fourth Proportional to 2,538.70, 3,506.15 and 1,744.12

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Solution

The fourth proportional to 2,538.70, 3,506.15 and 1,744.12 is: 2,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.70 : 3,506.15 = 1,744.12 : x
  2. Step 2: Convert to fraction form
    2,538.70/3,506.15 = 1,744.12/x
  3. Step 3: Cross multiply
    2,538.70x = 3,506.15 × 1,744.12
  4. Step 4: Simplify right side
    2,538.70x = 6,115,146.34
  5. Step 5: Solve for x
    x = 6,115,146.34/2,538.70
  6. Step 6: Final answer
    x = 2,408.77

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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.