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Finding the Fourth Proportional to 1,899.40, 2,622.90 and 1,201

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Solution

The fourth proportional to 1,899.40, 2,622.90 and 1,201 is: 1,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.40 : 2,622.90 = 1,201 : x
  2. Step 2: Convert to fraction form
    1,899.40/2,622.90 = 1,201/x
  3. Step 3: Cross multiply
    1,899.40x = 2,622.90 × 1,201
  4. Step 4: Simplify right side
    1,899.40x = 3,150,102.90
  5. Step 5: Solve for x
    x = 3,150,102.90/1,899.40
  6. Step 6: Final answer
    x = 1,658.47

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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.