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Finding the Fourth Proportional to 1,980.44, 2,964.21 and 1,460.23

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Solution

The fourth proportional to 1,980.44, 2,964.21 and 1,460.23 is: 2,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.44 : 2,964.21 = 1,460.23 : x
  2. Step 2: Convert to fraction form
    1,980.44/2,964.21 = 1,460.23/x
  3. Step 3: Cross multiply
    1,980.44x = 2,964.21 × 1,460.23
  4. Step 4: Simplify right side
    1,980.44x = 4,328,428.37
  5. Step 5: Solve for x
    x = 4,328,428.37/1,980.44
  6. Step 6: Final answer
    x = 2,185.59

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1.5x scale

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.