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Finding the Fourth Proportional to 2,370.33, 3,556.01 and 909.50

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Solution

The fourth proportional to 2,370.33, 3,556.01 and 909.50 is: 1,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.33 : 3,556.01 = 909.50 : x
  2. Step 2: Convert to fraction form
    2,370.33/3,556.01 = 909.50/x
  3. Step 3: Cross multiply
    2,370.33x = 3,556.01 × 909.50
  4. Step 4: Simplify right side
    2,370.33x = 3,234,175.59
  5. Step 5: Solve for x
    x = 3,234,175.59/2,370.33
  6. Step 6: Final answer
    x = 1,364.44

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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.