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Finding the Fourth Proportional to 2,953.82, 4,429.65 and 1,221.50

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Solution

The fourth proportional to 2,953.82, 4,429.65 and 1,221.50 is: 1,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.82 : 4,429.65 = 1,221.50 : x
  2. Step 2: Convert to fraction form
    2,953.82/4,429.65 = 1,221.50/x
  3. Step 3: Cross multiply
    2,953.82x = 4,429.65 × 1,221.50
  4. Step 4: Simplify right side
    2,953.82x = 5,410,817.48
  5. Step 5: Solve for x
    x = 5,410,817.48/2,953.82
  6. Step 6: Final answer
    x = 1,831.80

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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.