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Finding the Fourth Proportional to 3,498.40, 4,828.02 and 2,006.80

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Solution

The fourth proportional to 3,498.40, 4,828.02 and 2,006.80 is: 2,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.40 : 4,828.02 = 2,006.80 : x
  2. Step 2: Convert to fraction form
    3,498.40/4,828.02 = 2,006.80/x
  3. Step 3: Cross multiply
    3,498.40x = 4,828.02 × 2,006.80
  4. Step 4: Simplify right side
    3,498.40x = 9,688,870.54
  5. Step 5: Solve for x
    x = 9,688,870.54/3,498.40
  6. Step 6: Final answer
    x = 2,769.51

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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.