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Finding the Fourth Proportional to 1,825.51, 2,738.19 and 655.54

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Solution

The fourth proportional to 1,825.51, 2,738.19 and 655.54 is: 983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.51 : 2,738.19 = 655.54 : x
  2. Step 2: Convert to fraction form
    1,825.51/2,738.19 = 655.54/x
  3. Step 3: Cross multiply
    1,825.51x = 2,738.19 × 655.54
  4. Step 4: Simplify right side
    1,825.51x = 1,794,989.79
  5. Step 5: Solve for x
    x = 1,794,989.79/1,825.51
  6. Step 6: Final answer
    x = 983.28

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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.