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Finding the Fourth Proportional to 1,801.98, 2,685.05 and 1,605.47

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Solution

The fourth proportional to 1,801.98, 2,685.05 and 1,605.47 is: 2,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.98 : 2,685.05 = 1,605.47 : x
  2. Step 2: Convert to fraction form
    1,801.98/2,685.05 = 1,605.47/x
  3. Step 3: Cross multiply
    1,801.98x = 2,685.05 × 1,605.47
  4. Step 4: Simplify right side
    1,801.98x = 4,310,770.89
  5. Step 5: Solve for x
    x = 4,310,770.89/1,801.98
  6. Step 6: Final answer
    x = 2,392.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.