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Finding the Fourth Proportional to 2,228.82, 3,342.94 and 585.50

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Solution

The fourth proportional to 2,228.82, 3,342.94 and 585.50 is: 878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.82 : 3,342.94 = 585.50 : x
  2. Step 2: Convert to fraction form
    2,228.82/3,342.94 = 585.50/x
  3. Step 3: Cross multiply
    2,228.82x = 3,342.94 × 585.50
  4. Step 4: Simplify right side
    2,228.82x = 1,957,273.19
  5. Step 5: Solve for x
    x = 1,957,273.19/2,228.82
  6. Step 6: Final answer
    x = 878.17

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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.