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Finding the Fourth Proportional to 2,635.76, 3,633.16 and 2,075.34

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Solution

The fourth proportional to 2,635.76, 3,633.16 and 2,075.34 is: 2,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.76 : 3,633.16 = 2,075.34 : x
  2. Step 2: Convert to fraction form
    2,635.76/3,633.16 = 2,075.34/x
  3. Step 3: Cross multiply
    2,635.76x = 3,633.16 × 2,075.34
  4. Step 4: Simplify right side
    2,635.76x = 7,540,042.27
  5. Step 5: Solve for x
    x = 7,540,042.27/2,635.76
  6. Step 6: Final answer
    x = 2,860.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.