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Finding the Fourth Proportional to 2,075.69, 3,114.78 and 843.01

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Solution

The fourth proportional to 2,075.69, 3,114.78 and 843.01 is: 1,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.69 : 3,114.78 = 843.01 : x
  2. Step 2: Convert to fraction form
    2,075.69/3,114.78 = 843.01/x
  3. Step 3: Cross multiply
    2,075.69x = 3,114.78 × 843.01
  4. Step 4: Simplify right side
    2,075.69x = 2,625,784.48
  5. Step 5: Solve for x
    x = 2,625,784.48/2,075.69
  6. Step 6: Final answer
    x = 1,265.02

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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.