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Finding the Fourth Proportional to 1,563.98, 2,146.80 and 1,382.98

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Solution

The fourth proportional to 1,563.98, 2,146.80 and 1,382.98 is: 1,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.98 : 2,146.80 = 1,382.98 : x
  2. Step 2: Convert to fraction form
    1,563.98/2,146.80 = 1,382.98/x
  3. Step 3: Cross multiply
    1,563.98x = 2,146.80 × 1,382.98
  4. Step 4: Simplify right side
    1,563.98x = 2,968,976.46
  5. Step 5: Solve for x
    x = 2,968,976.46/1,563.98
  6. Step 6: Final answer
    x = 1,898.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.