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Finding the Fourth Proportional to 1,622.88, 2,428.74 and 1,382.22

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Solution

The fourth proportional to 1,622.88, 2,428.74 and 1,382.22 is: 2,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.88 : 2,428.74 = 1,382.22 : x
  2. Step 2: Convert to fraction form
    1,622.88/2,428.74 = 1,382.22/x
  3. Step 3: Cross multiply
    1,622.88x = 2,428.74 × 1,382.22
  4. Step 4: Simplify right side
    1,622.88x = 3,357,053.00
  5. Step 5: Solve for x
    x = 3,357,053.00/1,622.88
  6. Step 6: Final answer
    x = 2,068.58

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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.