Home / 1,728.24-2,384.94-942.23

Finding the Fourth Proportional to 1,728.24, 2,384.94 and 942.23

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Solution

The fourth proportional to 1,728.24, 2,384.94 and 942.23 is: 1,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.24 : 2,384.94 = 942.23 : x
  2. Step 2: Convert to fraction form
    1,728.24/2,384.94 = 942.23/x
  3. Step 3: Cross multiply
    1,728.24x = 2,384.94 × 942.23
  4. Step 4: Simplify right side
    1,728.24x = 2,247,171.51
  5. Step 5: Solve for x
    x = 2,247,171.51/1,728.24
  6. Step 6: Final answer
    x = 1,300.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.