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Finding the Fourth Proportional to 2,327.06, 3,491.81 and 866.63

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Solution

The fourth proportional to 2,327.06, 3,491.81 and 866.63 is: 1,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.06 : 3,491.81 = 866.63 : x
  2. Step 2: Convert to fraction form
    2,327.06/3,491.81 = 866.63/x
  3. Step 3: Cross multiply
    2,327.06x = 3,491.81 × 866.63
  4. Step 4: Simplify right side
    2,327.06x = 3,026,114.95
  5. Step 5: Solve for x
    x = 3,026,114.95/2,327.06
  6. Step 6: Final answer
    x = 1,300.40

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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.