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Finding the Fourth Proportional to 2,001.98, 2,987.68 and 1,783.28

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Solution

The fourth proportional to 2,001.98, 2,987.68 and 1,783.28 is: 2,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.98 : 2,987.68 = 1,783.28 : x
  2. Step 2: Convert to fraction form
    2,001.98/2,987.68 = 1,783.28/x
  3. Step 3: Cross multiply
    2,001.98x = 2,987.68 × 1,783.28
  4. Step 4: Simplify right side
    2,001.98x = 5,327,869.99
  5. Step 5: Solve for x
    x = 5,327,869.99/2,001.98
  6. Step 6: Final answer
    x = 2,661.30

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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.