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Finding the Fourth Proportional to 2,372.96, 3,535.07 and 2,266.34

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Solution

The fourth proportional to 2,372.96, 3,535.07 and 2,266.34 is: 3,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.96 : 3,535.07 = 2,266.34 : x
  2. Step 2: Convert to fraction form
    2,372.96/3,535.07 = 2,266.34/x
  3. Step 3: Cross multiply
    2,372.96x = 3,535.07 × 2,266.34
  4. Step 4: Simplify right side
    2,372.96x = 8,011,658.53
  5. Step 5: Solve for x
    x = 8,011,658.53/2,372.96
  6. Step 6: Final answer
    x = 3,376.24

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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.