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Finding the Fourth Proportional to 1,899.80, 2,851.38 and 975.98

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Solution

The fourth proportional to 1,899.80, 2,851.38 and 975.98 is: 1,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.80 : 2,851.38 = 975.98 : x
  2. Step 2: Convert to fraction form
    1,899.80/2,851.38 = 975.98/x
  3. Step 3: Cross multiply
    1,899.80x = 2,851.38 × 975.98
  4. Step 4: Simplify right side
    1,899.80x = 2,782,889.85
  5. Step 5: Solve for x
    x = 2,782,889.85/1,899.80
  6. Step 6: Final answer
    x = 1,464.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.