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Finding the Fourth Proportional to 2,018.84, 3,028.61 and 923.31

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Solution

The fourth proportional to 2,018.84, 3,028.61 and 923.31 is: 1,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.84 : 3,028.61 = 923.31 : x
  2. Step 2: Convert to fraction form
    2,018.84/3,028.61 = 923.31/x
  3. Step 3: Cross multiply
    2,018.84x = 3,028.61 × 923.31
  4. Step 4: Simplify right side
    2,018.84x = 2,796,345.90
  5. Step 5: Solve for x
    x = 2,796,345.90/2,018.84
  6. Step 6: Final answer
    x = 1,385.13

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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.