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Finding the Fourth Proportional to 2,228.06, 3,342.27 and 689.06

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Solution

The fourth proportional to 2,228.06, 3,342.27 and 689.06 is: 1,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.06 : 3,342.27 = 689.06 : x
  2. Step 2: Convert to fraction form
    2,228.06/3,342.27 = 689.06/x
  3. Step 3: Cross multiply
    2,228.06x = 3,342.27 × 689.06
  4. Step 4: Simplify right side
    2,228.06x = 2,303,035.51
  5. Step 5: Solve for x
    x = 2,303,035.51/2,228.06
  6. Step 6: Final answer
    x = 1,033.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.