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Finding the Fourth Proportional to 2,392.68, 3,301.71 and 1,448.99

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Solution

The fourth proportional to 2,392.68, 3,301.71 and 1,448.99 is: 1,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.68 : 3,301.71 = 1,448.99 : x
  2. Step 2: Convert to fraction form
    2,392.68/3,301.71 = 1,448.99/x
  3. Step 3: Cross multiply
    2,392.68x = 3,301.71 × 1,448.99
  4. Step 4: Simplify right side
    2,392.68x = 4,784,144.77
  5. Step 5: Solve for x
    x = 4,784,144.77/2,392.68
  6. Step 6: Final answer
    x = 1,999.49

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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.