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Finding the Fourth Proportional to 2,000.36, 3,001.51 and 1,075.80

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Solution

The fourth proportional to 2,000.36, 3,001.51 and 1,075.80 is: 1,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.36 : 3,001.51 = 1,075.80 : x
  2. Step 2: Convert to fraction form
    2,000.36/3,001.51 = 1,075.80/x
  3. Step 3: Cross multiply
    2,000.36x = 3,001.51 × 1,075.80
  4. Step 4: Simplify right side
    2,000.36x = 3,229,014.12
  5. Step 5: Solve for x
    x = 3,229,014.12/2,000.36
  6. Step 6: Final answer
    x = 1,614.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.