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Finding the Fourth Proportional to 1,725.52, 2,383.63 and 1,661.52

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Solution

The fourth proportional to 1,725.52, 2,383.63 and 1,661.52 is: 2,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.52 : 2,383.63 = 1,661.52 : x
  2. Step 2: Convert to fraction form
    1,725.52/2,383.63 = 1,661.52/x
  3. Step 3: Cross multiply
    1,725.52x = 2,383.63 × 1,661.52
  4. Step 4: Simplify right side
    1,725.52x = 3,960,448.92
  5. Step 5: Solve for x
    x = 3,960,448.92/1,725.52
  6. Step 6: Final answer
    x = 2,295.22

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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.