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Finding the Fourth Proportional to 1,899, 2,846.36 and 1,435.28

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Solution

The fourth proportional to 1,899, 2,846.36 and 1,435.28 is: 2,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899 : 2,846.36 = 1,435.28 : x
  2. Step 2: Convert to fraction form
    1,899/2,846.36 = 1,435.28/x
  3. Step 3: Cross multiply
    1,899x = 2,846.36 × 1,435.28
  4. Step 4: Simplify right side
    1,899x = 4,085,312.94
  5. Step 5: Solve for x
    x = 4,085,312.94/1,899
  6. Step 6: Final answer
    x = 2,151.30

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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.