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Finding the Fourth Proportional to 2,308.34, 3,462.51 and 664.90

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Solution

The fourth proportional to 2,308.34, 3,462.51 and 664.90 is: 997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.34 : 3,462.51 = 664.90 : x
  2. Step 2: Convert to fraction form
    2,308.34/3,462.51 = 664.90/x
  3. Step 3: Cross multiply
    2,308.34x = 3,462.51 × 664.90
  4. Step 4: Simplify right side
    2,308.34x = 2,302,214.24
  5. Step 5: Solve for x
    x = 2,302,214.24/2,308.34
  6. Step 6: Final answer
    x = 997.35

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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.