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Finding the Fourth Proportional to 1,825.85, 2,738.82 and 655.93

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Solution

The fourth proportional to 1,825.85, 2,738.82 and 655.93 is: 983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.85 : 2,738.82 = 655.93 : x
  2. Step 2: Convert to fraction form
    1,825.85/2,738.82 = 655.93/x
  3. Step 3: Cross multiply
    1,825.85x = 2,738.82 × 655.93
  4. Step 4: Simplify right side
    1,825.85x = 1,796,474.20
  5. Step 5: Solve for x
    x = 1,796,474.20/1,825.85
  6. Step 6: Final answer
    x = 983.91

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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.