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Finding the Fourth Proportional to 1,825.83, 2,740.23 and 730.98

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Solution

The fourth proportional to 1,825.83, 2,740.23 and 730.98 is: 1,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.83 : 2,740.23 = 730.98 : x
  2. Step 2: Convert to fraction form
    1,825.83/2,740.23 = 730.98/x
  3. Step 3: Cross multiply
    1,825.83x = 2,740.23 × 730.98
  4. Step 4: Simplify right side
    1,825.83x = 2,003,053.33
  5. Step 5: Solve for x
    x = 2,003,053.33/1,825.83
  6. Step 6: Final answer
    x = 1,097.06

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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.