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Finding the Fourth Proportional to 2,437.42, 3,649.22 and 2,206.74

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Solution

The fourth proportional to 2,437.42, 3,649.22 and 2,206.74 is: 3,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.42 : 3,649.22 = 2,206.74 : x
  2. Step 2: Convert to fraction form
    2,437.42/3,649.22 = 2,206.74/x
  3. Step 3: Cross multiply
    2,437.42x = 3,649.22 × 2,206.74
  4. Step 4: Simplify right side
    2,437.42x = 8,052,879.74
  5. Step 5: Solve for x
    x = 8,052,879.74/2,437.42
  6. Step 6: Final answer
    x = 3,303.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.