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Finding the Fourth Proportional to 1,602.71, 2,399.39 and 1,448.99

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Solution

The fourth proportional to 1,602.71, 2,399.39 and 1,448.99 is: 2,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.71 : 2,399.39 = 1,448.99 : x
  2. Step 2: Convert to fraction form
    1,602.71/2,399.39 = 1,448.99/x
  3. Step 3: Cross multiply
    1,602.71x = 2,399.39 × 1,448.99
  4. Step 4: Simplify right side
    1,602.71x = 3,476,684.87
  5. Step 5: Solve for x
    x = 3,476,684.87/1,602.71
  6. Step 6: Final answer
    x = 2,169.25

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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.