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Finding the Fourth Proportional to 2,842.10, 4,263.83 and 894.31

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Solution

The fourth proportional to 2,842.10, 4,263.83 and 894.31 is: 1,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.10 : 4,263.83 = 894.31 : x
  2. Step 2: Convert to fraction form
    2,842.10/4,263.83 = 894.31/x
  3. Step 3: Cross multiply
    2,842.10x = 4,263.83 × 894.31
  4. Step 4: Simplify right side
    2,842.10x = 3,813,170.68
  5. Step 5: Solve for x
    x = 3,813,170.68/2,842.10
  6. Step 6: Final answer
    x = 1,341.67

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Why These Related Problems?

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