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Finding the Fourth Proportional to 1,626.24, 2,242 and 1,575.24

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Solution

The fourth proportional to 1,626.24, 2,242 and 1,575.24 is: 2,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.24 : 2,242 = 1,575.24 : x
  2. Step 2: Convert to fraction form
    1,626.24/2,242 = 1,575.24/x
  3. Step 3: Cross multiply
    1,626.24x = 2,242 × 1,575.24
  4. Step 4: Simplify right side
    1,626.24x = 3,531,688.08
  5. Step 5: Solve for x
    x = 3,531,688.08/1,626.24
  6. Step 6: Final answer
    x = 2,171.69

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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.