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Finding the Fourth Proportional to 2,327.64, 3,490.56 and 866.46

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Solution

The fourth proportional to 2,327.64, 3,490.56 and 866.46 is: 1,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.64 : 3,490.56 = 866.46 : x
  2. Step 2: Convert to fraction form
    2,327.64/3,490.56 = 866.46/x
  3. Step 3: Cross multiply
    2,327.64x = 3,490.56 × 866.46
  4. Step 4: Simplify right side
    2,327.64x = 3,024,430.62
  5. Step 5: Solve for x
    x = 3,024,430.62/2,327.64
  6. Step 6: Final answer
    x = 1,299.35

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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.