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Finding the Fourth Proportional to 2,964.23, 4,448.16 and 1,648.99

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Solution

The fourth proportional to 2,964.23, 4,448.16 and 1,648.99 is: 2,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.23 : 4,448.16 = 1,648.99 : x
  2. Step 2: Convert to fraction form
    2,964.23/4,448.16 = 1,648.99/x
  3. Step 3: Cross multiply
    2,964.23x = 4,448.16 × 1,648.99
  4. Step 4: Simplify right side
    2,964.23x = 7,334,971.36
  5. Step 5: Solve for x
    x = 7,334,971.36/2,964.23
  6. Step 6: Final answer
    x = 2,474.49

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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.