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Finding the Fourth Proportional to 2,624.81, 3,622.25 and 1,445.85

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Solution

The fourth proportional to 2,624.81, 3,622.25 and 1,445.85 is: 1,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.81 : 3,622.25 = 1,445.85 : x
  2. Step 2: Convert to fraction form
    2,624.81/3,622.25 = 1,445.85/x
  3. Step 3: Cross multiply
    2,624.81x = 3,622.25 × 1,445.85
  4. Step 4: Simplify right side
    2,624.81x = 5,237,233.78
  5. Step 5: Solve for x
    x = 5,237,233.78/2,624.81
  6. Step 6: Final answer
    x = 1,995.28

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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.