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Finding the Fourth Proportional to 2,288.40, 3,429.40 and 1,698.80

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Solution

The fourth proportional to 2,288.40, 3,429.40 and 1,698.80 is: 2,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.40 : 3,429.40 = 1,698.80 : x
  2. Step 2: Convert to fraction form
    2,288.40/3,429.40 = 1,698.80/x
  3. Step 3: Cross multiply
    2,288.40x = 3,429.40 × 1,698.80
  4. Step 4: Simplify right side
    2,288.40x = 5,825,864.72
  5. Step 5: Solve for x
    x = 5,825,864.72/2,288.40
  6. Step 6: Final answer
    x = 2,545.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.