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Finding the Fourth Proportional to 2,469.48, 3,703.93 and 989.34

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Solution

The fourth proportional to 2,469.48, 3,703.93 and 989.34 is: 1,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.48 : 3,703.93 = 989.34 : x
  2. Step 2: Convert to fraction form
    2,469.48/3,703.93 = 989.34/x
  3. Step 3: Cross multiply
    2,469.48x = 3,703.93 × 989.34
  4. Step 4: Simplify right side
    2,469.48x = 3,664,446.11
  5. Step 5: Solve for x
    x = 3,664,446.11/2,469.48
  6. Step 6: Final answer
    x = 1,483.89

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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.