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Finding the Fourth Proportional to 2,228, 3,074.58 and 1,233.30

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Solution

The fourth proportional to 2,228, 3,074.58 and 1,233.30 is: 1,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228 : 3,074.58 = 1,233.30 : x
  2. Step 2: Convert to fraction form
    2,228/3,074.58 = 1,233.30/x
  3. Step 3: Cross multiply
    2,228x = 3,074.58 × 1,233.30
  4. Step 4: Simplify right side
    2,228x = 3,791,879.51
  5. Step 5: Solve for x
    x = 3,791,879.51/2,228
  6. Step 6: Final answer
    x = 1,701.92

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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.