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Finding the Fourth Proportional to 2,336.91, 3,506.31 and 876.21

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Solution

The fourth proportional to 2,336.91, 3,506.31 and 876.21 is: 1,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.91 : 3,506.31 = 876.21 : x
  2. Step 2: Convert to fraction form
    2,336.91/3,506.31 = 876.21/x
  3. Step 3: Cross multiply
    2,336.91x = 3,506.31 × 876.21
  4. Step 4: Simplify right side
    2,336.91x = 3,072,263.89
  5. Step 5: Solve for x
    x = 3,072,263.89/2,336.91
  6. Step 6: Final answer
    x = 1,314.67

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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.