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Finding the Fourth Proportional to 2,698.19, 3,722.59 and 1,635.67

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Solution

The fourth proportional to 2,698.19, 3,722.59 and 1,635.67 is: 2,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.19 : 3,722.59 = 1,635.67 : x
  2. Step 2: Convert to fraction form
    2,698.19/3,722.59 = 1,635.67/x
  3. Step 3: Cross multiply
    2,698.19x = 3,722.59 × 1,635.67
  4. Step 4: Simplify right side
    2,698.19x = 6,088,928.79
  5. Step 5: Solve for x
    x = 6,088,928.79/2,698.19
  6. Step 6: Final answer
    x = 2,256.67

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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.