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Finding the Fourth Proportional to 1,899.66, 2,847.02 and 974.44

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Solution

The fourth proportional to 1,899.66, 2,847.02 and 974.44 is: 1,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.66 : 2,847.02 = 974.44 : x
  2. Step 2: Convert to fraction form
    1,899.66/2,847.02 = 974.44/x
  3. Step 3: Cross multiply
    1,899.66x = 2,847.02 × 974.44
  4. Step 4: Simplify right side
    1,899.66x = 2,774,250.17
  5. Step 5: Solve for x
    x = 2,774,250.17/1,899.66
  6. Step 6: Final answer
    x = 1,460.39

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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.