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Finding the Fourth Proportional to 3,054.52, 4,215.54 and 1,728.28

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Solution

The fourth proportional to 3,054.52, 4,215.54 and 1,728.28 is: 2,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.52 : 4,215.54 = 1,728.28 : x
  2. Step 2: Convert to fraction form
    3,054.52/4,215.54 = 1,728.28/x
  3. Step 3: Cross multiply
    3,054.52x = 4,215.54 × 1,728.28
  4. Step 4: Simplify right side
    3,054.52x = 7,285,633.47
  5. Step 5: Solve for x
    x = 7,285,633.47/3,054.52
  6. Step 6: Final answer
    x = 2,385.20

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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.