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Finding the Fourth Proportional to 2,075.15, 3,115.13 and 843.45

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Solution

The fourth proportional to 2,075.15, 3,115.13 and 843.45 is: 1,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.15 : 3,115.13 = 843.45 : x
  2. Step 2: Convert to fraction form
    2,075.15/3,115.13 = 843.45/x
  3. Step 3: Cross multiply
    2,075.15x = 3,115.13 × 843.45
  4. Step 4: Simplify right side
    2,075.15x = 2,627,452.18
  5. Step 5: Solve for x
    x = 2,627,452.18/2,075.15
  6. Step 6: Final answer
    x = 1,266.15

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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.