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Finding the Fourth Proportional to 3,055.32, 4,216.18 and 1,728.81

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Solution

The fourth proportional to 3,055.32, 4,216.18 and 1,728.81 is: 2,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.32 : 4,216.18 = 1,728.81 : x
  2. Step 2: Convert to fraction form
    3,055.32/4,216.18 = 1,728.81/x
  3. Step 3: Cross multiply
    3,055.32x = 4,216.18 × 1,728.81
  4. Step 4: Simplify right side
    3,055.32x = 7,288,965.50
  5. Step 5: Solve for x
    x = 7,288,965.50/3,055.32
  6. Step 6: Final answer
    x = 2,385.66

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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.