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Finding the Fourth Proportional to 2,626.34, 3,624.80 and 1,786.48

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Solution

The fourth proportional to 2,626.34, 3,624.80 and 1,786.48 is: 2,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.34 : 3,624.80 = 1,786.48 : x
  2. Step 2: Convert to fraction form
    2,626.34/3,624.80 = 1,786.48/x
  3. Step 3: Cross multiply
    2,626.34x = 3,624.80 × 1,786.48
  4. Step 4: Simplify right side
    2,626.34x = 6,475,632.70
  5. Step 5: Solve for x
    x = 6,475,632.70/2,626.34
  6. Step 6: Final answer
    x = 2,465.65

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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.