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Finding the Fourth Proportional to 2,392.94, 3,300.95 and 1,448.28

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Solution

The fourth proportional to 2,392.94, 3,300.95 and 1,448.28 is: 1,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.94 : 3,300.95 = 1,448.28 : x
  2. Step 2: Convert to fraction form
    2,392.94/3,300.95 = 1,448.28/x
  3. Step 3: Cross multiply
    2,392.94x = 3,300.95 × 1,448.28
  4. Step 4: Simplify right side
    2,392.94x = 4,780,703.49
  5. Step 5: Solve for x
    x = 4,780,703.49/2,392.94
  6. Step 6: Final answer
    x = 1,997.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.