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Finding the Fourth Proportional to 2,001.42, 3,003.00 and 1,075.90

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Solution

The fourth proportional to 2,001.42, 3,003.00 and 1,075.90 is: 1,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.42 : 3,003.00 = 1,075.90 : x
  2. Step 2: Convert to fraction form
    2,001.42/3,003.00 = 1,075.90/x
  3. Step 3: Cross multiply
    2,001.42x = 3,003.00 × 1,075.90
  4. Step 4: Simplify right side
    2,001.42x = 3,230,907.31
  5. Step 5: Solve for x
    x = 3,230,907.31/2,001.42
  6. Step 6: Final answer
    x = 1,614.31

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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.