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Finding the Fourth Proportional to 2,145.50, 3,218.79 and 606.50

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Solution

The fourth proportional to 2,145.50, 3,218.79 and 606.50 is: 909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.50 : 3,218.79 = 606.50 : x
  2. Step 2: Convert to fraction form
    2,145.50/3,218.79 = 606.50/x
  3. Step 3: Cross multiply
    2,145.50x = 3,218.79 × 606.50
  4. Step 4: Simplify right side
    2,145.50x = 1,952,196.14
  5. Step 5: Solve for x
    x = 1,952,196.14/2,145.50
  6. Step 6: Final answer
    x = 909.90

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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.