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Finding the Fourth Proportional to 3,409.74, 4,703.98 and 2,228.76

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Solution

The fourth proportional to 3,409.74, 4,703.98 and 2,228.76 is: 3,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.74 : 4,703.98 = 2,228.76 : x
  2. Step 2: Convert to fraction form
    3,409.74/4,703.98 = 2,228.76/x
  3. Step 3: Cross multiply
    3,409.74x = 4,703.98 × 2,228.76
  4. Step 4: Simplify right side
    3,409.74x = 10,484,042.46
  5. Step 5: Solve for x
    x = 10,484,042.46/3,409.74
  6. Step 6: Final answer
    x = 3,074.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.