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Finding the Fourth Proportional to 2,075.76, 3,111.75 and 1,611

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Solution

The fourth proportional to 2,075.76, 3,111.75 and 1,611 is: 2,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.76 : 3,111.75 = 1,611 : x
  2. Step 2: Convert to fraction form
    2,075.76/3,111.75 = 1,611/x
  3. Step 3: Cross multiply
    2,075.76x = 3,111.75 × 1,611
  4. Step 4: Simplify right side
    2,075.76x = 5,013,029.25
  5. Step 5: Solve for x
    x = 5,013,029.25/2,075.76
  6. Step 6: Final answer
    x = 2,415.03

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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.