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Finding the Fourth Proportional to 1,382.70, 2,075.55 and 1,229.61

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Solution

The fourth proportional to 1,382.70, 2,075.55 and 1,229.61 is: 1,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.70 : 2,075.55 = 1,229.61 : x
  2. Step 2: Convert to fraction form
    1,382.70/2,075.55 = 1,229.61/x
  3. Step 3: Cross multiply
    1,382.70x = 2,075.55 × 1,229.61
  4. Step 4: Simplify right side
    1,382.70x = 2,552,117.04
  5. Step 5: Solve for x
    x = 2,552,117.04/1,382.70
  6. Step 6: Final answer
    x = 1,845.75

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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.