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Finding the Fourth Proportional to 3,151.72, 4,349 and 1,825.25

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Solution

The fourth proportional to 3,151.72, 4,349 and 1,825.25 is: 2,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.72 : 4,349 = 1,825.25 : x
  2. Step 2: Convert to fraction form
    3,151.72/4,349 = 1,825.25/x
  3. Step 3: Cross multiply
    3,151.72x = 4,349 × 1,825.25
  4. Step 4: Simplify right side
    3,151.72x = 7,937,990.51
  5. Step 5: Solve for x
    x = 7,937,990.51/3,151.72
  6. Step 6: Final answer
    x = 2,518.62

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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.