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Finding the Fourth Proportional to 2,089.00, 2,881.79 and 1,757.30

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Solution

The fourth proportional to 2,089.00, 2,881.79 and 1,757.30 is: 2,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.00 : 2,881.79 = 1,757.30 : x
  2. Step 2: Convert to fraction form
    2,089.00/2,881.79 = 1,757.30/x
  3. Step 3: Cross multiply
    2,089.00x = 2,881.79 × 1,757.30
  4. Step 4: Simplify right side
    2,089.00x = 5,064,169.57
  5. Step 5: Solve for x
    x = 5,064,169.57/2,089.00
  6. Step 6: Final answer
    x = 2,424.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.