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Finding the Fourth Proportional to 2,075.22, 3,111.01 and 979.90

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Solution

The fourth proportional to 2,075.22, 3,111.01 and 979.90 is: 1,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.22 : 3,111.01 = 979.90 : x
  2. Step 2: Convert to fraction form
    2,075.22/3,111.01 = 979.90/x
  3. Step 3: Cross multiply
    2,075.22x = 3,111.01 × 979.90
  4. Step 4: Simplify right side
    2,075.22x = 3,048,468.47
  5. Step 5: Solve for x
    x = 3,048,468.47/2,075.22
  6. Step 6: Final answer
    x = 1,468.99

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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.