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Finding the Fourth Proportional to 2,145.89, 3,219.39 and 606.89

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Solution

The fourth proportional to 2,145.89, 3,219.39 and 606.89 is: 910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.89 : 3,219.39 = 606.89 : x
  2. Step 2: Convert to fraction form
    2,145.89/3,219.39 = 606.89/x
  3. Step 3: Cross multiply
    2,145.89x = 3,219.39 × 606.89
  4. Step 4: Simplify right side
    2,145.89x = 1,953,815.60
  5. Step 5: Solve for x
    x = 1,953,815.60/2,145.89
  6. Step 6: Final answer
    x = 910.49

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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.