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Finding the Fourth Proportional to 1,728.91, 2,385.69 and 982.84

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Solution

The fourth proportional to 1,728.91, 2,385.69 and 982.84 is: 1,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.91 : 2,385.69 = 982.84 : x
  2. Step 2: Convert to fraction form
    1,728.91/2,385.69 = 982.84/x
  3. Step 3: Cross multiply
    1,728.91x = 2,385.69 × 982.84
  4. Step 4: Simplify right side
    1,728.91x = 2,344,751.56
  5. Step 5: Solve for x
    x = 2,344,751.56/1,728.91
  6. Step 6: Final answer
    x = 1,356.20

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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.