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Finding the Fourth Proportional to 2,433.74, 3,357.09 and 1,535.90

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Solution

The fourth proportional to 2,433.74, 3,357.09 and 1,535.90 is: 2,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.74 : 3,357.09 = 1,535.90 : x
  2. Step 2: Convert to fraction form
    2,433.74/3,357.09 = 1,535.90/x
  3. Step 3: Cross multiply
    2,433.74x = 3,357.09 × 1,535.90
  4. Step 4: Simplify right side
    2,433.74x = 5,156,137.75
  5. Step 5: Solve for x
    x = 5,156,137.75/2,433.74
  6. Step 6: Final answer
    x = 2,118.61

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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.