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Finding the Fourth Proportional to 2,075.97, 3,113.98 and 1,209.67

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Solution

The fourth proportional to 2,075.97, 3,113.98 and 1,209.67 is: 1,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.97 : 3,113.98 = 1,209.67 : x
  2. Step 2: Convert to fraction form
    2,075.97/3,113.98 = 1,209.67/x
  3. Step 3: Cross multiply
    2,075.97x = 3,113.98 × 1,209.67
  4. Step 4: Simplify right side
    2,075.97x = 3,766,888.19
  5. Step 5: Solve for x
    x = 3,766,888.19/2,075.97
  6. Step 6: Final answer
    x = 1,814.52

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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.