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Finding the Fourth Proportional to 2,427.96, 3,641.01 and 867.67

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Solution

The fourth proportional to 2,427.96, 3,641.01 and 867.67 is: 1,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.96 : 3,641.01 = 867.67 : x
  2. Step 2: Convert to fraction form
    2,427.96/3,641.01 = 867.67/x
  3. Step 3: Cross multiply
    2,427.96x = 3,641.01 × 867.67
  4. Step 4: Simplify right side
    2,427.96x = 3,159,195.15
  5. Step 5: Solve for x
    x = 3,159,195.15/2,427.96
  6. Step 6: Final answer
    x = 1,301.17

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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.