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Finding the Fourth Proportional to 2,393.20, 3,302.16 and 1,448.80

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Solution

The fourth proportional to 2,393.20, 3,302.16 and 1,448.80 is: 1,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.20 : 3,302.16 = 1,448.80 : x
  2. Step 2: Convert to fraction form
    2,393.20/3,302.16 = 1,448.80/x
  3. Step 3: Cross multiply
    2,393.20x = 3,302.16 × 1,448.80
  4. Step 4: Simplify right side
    2,393.20x = 4,784,169.41
  5. Step 5: Solve for x
    x = 4,784,169.41/2,393.20
  6. Step 6: Final answer
    x = 1,999.07

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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.