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Finding the Fourth Proportional to 1,368.98, 1,889.37 and 949.22

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Solution

The fourth proportional to 1,368.98, 1,889.37 and 949.22 is: 1,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.98 : 1,889.37 = 949.22 : x
  2. Step 2: Convert to fraction form
    1,368.98/1,889.37 = 949.22/x
  3. Step 3: Cross multiply
    1,368.98x = 1,889.37 × 949.22
  4. Step 4: Simplify right side
    1,368.98x = 1,793,427.79
  5. Step 5: Solve for x
    x = 1,793,427.79/1,368.98
  6. Step 6: Final answer
    x = 1,310.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.