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Finding the Fourth Proportional to 4,020.44, 6,030.66 and 1,967

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Solution

The fourth proportional to 4,020.44, 6,030.66 and 1,967 is: 2,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.44 : 6,030.66 = 1,967 : x
  2. Step 2: Convert to fraction form
    4,020.44/6,030.66 = 1,967/x
  3. Step 3: Cross multiply
    4,020.44x = 6,030.66 × 1,967
  4. Step 4: Simplify right side
    4,020.44x = 11,862,308.22
  5. Step 5: Solve for x
    x = 11,862,308.22/4,020.44
  6. Step 6: Final answer
    x = 2,950.50

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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.