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Finding the Fourth Proportional to 2,333, 3,484.21 and 2,206.76

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Solution

The fourth proportional to 2,333, 3,484.21 and 2,206.76 is: 3,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333 : 3,484.21 = 2,206.76 : x
  2. Step 2: Convert to fraction form
    2,333/3,484.21 = 2,206.76/x
  3. Step 3: Cross multiply
    2,333x = 3,484.21 × 2,206.76
  4. Step 4: Simplify right side
    2,333x = 7,688,815.26
  5. Step 5: Solve for x
    x = 7,688,815.26/2,333
  6. Step 6: Final answer
    x = 3,295.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.