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Finding the Fourth Proportional to 1,348.15, 2,022.23 and 374.17

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Solution

The fourth proportional to 1,348.15, 2,022.23 and 374.17 is: 561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.15 : 2,022.23 = 374.17 : x
  2. Step 2: Convert to fraction form
    1,348.15/2,022.23 = 374.17/x
  3. Step 3: Cross multiply
    1,348.15x = 2,022.23 × 374.17
  4. Step 4: Simplify right side
    1,348.15x = 756,657.80
  5. Step 5: Solve for x
    x = 756,657.80/1,348.15
  6. Step 6: Final answer
    x = 561.26

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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.