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Finding the Fourth Proportional to 1,964.90, 2,940.96 and 1,444.77

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Solution

The fourth proportional to 1,964.90, 2,940.96 and 1,444.77 is: 2,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.90 : 2,940.96 = 1,444.77 : x
  2. Step 2: Convert to fraction form
    1,964.90/2,940.96 = 1,444.77/x
  3. Step 3: Cross multiply
    1,964.90x = 2,940.96 × 1,444.77
  4. Step 4: Simplify right side
    1,964.90x = 4,249,016.20
  5. Step 5: Solve for x
    x = 4,249,016.20/1,964.90
  6. Step 6: Final answer
    x = 2,162.46

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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.