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Finding the Fourth Proportional to 1,969.36, 2,954.82 and 1,148

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Solution

The fourth proportional to 1,969.36, 2,954.82 and 1,148 is: 1,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.36 : 2,954.82 = 1,148 : x
  2. Step 2: Convert to fraction form
    1,969.36/2,954.82 = 1,148/x
  3. Step 3: Cross multiply
    1,969.36x = 2,954.82 × 1,148
  4. Step 4: Simplify right side
    1,969.36x = 3,392,133.36
  5. Step 5: Solve for x
    x = 3,392,133.36/1,969.36
  6. Step 6: Final answer
    x = 1,722.45

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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.