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Finding the Fourth Proportional to 1,348.82, 2,021.10 and 1,018.19

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Solution

The fourth proportional to 1,348.82, 2,021.10 and 1,018.19 is: 1,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.82 : 2,021.10 = 1,018.19 : x
  2. Step 2: Convert to fraction form
    1,348.82/2,021.10 = 1,018.19/x
  3. Step 3: Cross multiply
    1,348.82x = 2,021.10 × 1,018.19
  4. Step 4: Simplify right side
    1,348.82x = 2,057,859.40
  5. Step 5: Solve for x
    x = 2,057,859.40/1,348.82
  6. Step 6: Final answer
    x = 1,525.68

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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.