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Finding the Fourth Proportional to 2,308.63, 3,460.81 and 921.63

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Solution

The fourth proportional to 2,308.63, 3,460.81 and 921.63 is: 1,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.63 : 3,460.81 = 921.63 : x
  2. Step 2: Convert to fraction form
    2,308.63/3,460.81 = 921.63/x
  3. Step 3: Cross multiply
    2,308.63x = 3,460.81 × 921.63
  4. Step 4: Simplify right side
    2,308.63x = 3,189,564.41
  5. Step 5: Solve for x
    x = 3,189,564.41/2,308.63
  6. Step 6: Final answer
    x = 1,381.59

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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.