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Finding the Fourth Proportional to 3,112, 4,668.36 and 1,032.28

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Solution

The fourth proportional to 3,112, 4,668.36 and 1,032.28 is: 1,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112 : 4,668.36 = 1,032.28 : x
  2. Step 2: Convert to fraction form
    3,112/4,668.36 = 1,032.28/x
  3. Step 3: Cross multiply
    3,112x = 4,668.36 × 1,032.28
  4. Step 4: Simplify right side
    3,112x = 4,819,054.66
  5. Step 5: Solve for x
    x = 4,819,054.66/3,112
  6. Step 6: Final answer
    x = 1,548.54

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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.