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Finding the Fourth Proportional to 1,999.98, 2,984.69 and 1,781.28

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Solution

The fourth proportional to 1,999.98, 2,984.69 and 1,781.28 is: 2,658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.98 : 2,984.69 = 1,781.28 : x
  2. Step 2: Convert to fraction form
    1,999.98/2,984.69 = 1,781.28/x
  3. Step 3: Cross multiply
    1,999.98x = 2,984.69 × 1,781.28
  4. Step 4: Simplify right side
    1,999.98x = 5,316,573.06
  5. Step 5: Solve for x
    x = 5,316,573.06/1,999.98
  6. Step 6: Final answer
    x = 2,658.31

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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.