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Finding the Fourth Proportional to 2,699.48, 4,022.48 and 2,408.70

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Solution

The fourth proportional to 2,699.48, 4,022.48 and 2,408.70 is: 3,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.48 : 4,022.48 = 2,408.70 : x
  2. Step 2: Convert to fraction form
    2,699.48/4,022.48 = 2,408.70/x
  3. Step 3: Cross multiply
    2,699.48x = 4,022.48 × 2,408.70
  4. Step 4: Simplify right side
    2,699.48x = 9,688,947.58
  5. Step 5: Solve for x
    x = 9,688,947.58/2,699.48
  6. Step 6: Final answer
    x = 3,589.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.