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Finding the Fourth Proportional to 2,028.66, 3,042.99 and 730.13

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Solution

The fourth proportional to 2,028.66, 3,042.99 and 730.13 is: 1,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.66 : 3,042.99 = 730.13 : x
  2. Step 2: Convert to fraction form
    2,028.66/3,042.99 = 730.13/x
  3. Step 3: Cross multiply
    2,028.66x = 3,042.99 × 730.13
  4. Step 4: Simplify right side
    2,028.66x = 2,221,763.07
  5. Step 5: Solve for x
    x = 2,221,763.07/2,028.66
  6. Step 6: Final answer
    x = 1,095.19

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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.