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Finding the Fourth Proportional to 2,967.94, 4,448.14 and 1,404.49

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Solution

The fourth proportional to 2,967.94, 4,448.14 and 1,404.49 is: 2,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.94 : 4,448.14 = 1,404.49 : x
  2. Step 2: Convert to fraction form
    2,967.94/4,448.14 = 1,404.49/x
  3. Step 3: Cross multiply
    2,967.94x = 4,448.14 × 1,404.49
  4. Step 4: Simplify right side
    2,967.94x = 6,247,368.15
  5. Step 5: Solve for x
    x = 6,247,368.15/2,967.94
  6. Step 6: Final answer
    x = 2,104.95

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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.