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Finding the Fourth Proportional to 1,830.87, 2,745.39 and 598.14

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Solution

The fourth proportional to 1,830.87, 2,745.39 and 598.14 is: 896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.87 : 2,745.39 = 598.14 : x
  2. Step 2: Convert to fraction form
    1,830.87/2,745.39 = 598.14/x
  3. Step 3: Cross multiply
    1,830.87x = 2,745.39 × 598.14
  4. Step 4: Simplify right side
    1,830.87x = 1,642,127.57
  5. Step 5: Solve for x
    x = 1,642,127.57/1,830.87
  6. Step 6: Final answer
    x = 896.91

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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.