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Finding the Fourth Proportional to 1,969.53, 2,698.25 and 1,895.67

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Solution

The fourth proportional to 1,969.53, 2,698.25 and 1,895.67 is: 2,597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.53 : 2,698.25 = 1,895.67 : x
  2. Step 2: Convert to fraction form
    1,969.53/2,698.25 = 1,895.67/x
  3. Step 3: Cross multiply
    1,969.53x = 2,698.25 × 1,895.67
  4. Step 4: Simplify right side
    1,969.53x = 5,114,982.10
  5. Step 5: Solve for x
    x = 5,114,982.10/1,969.53
  6. Step 6: Final answer
    x = 2,597.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.