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Finding the Fourth Proportional to 1,743.90, 2,448.75 and 1,743.90

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Solution

The fourth proportional to 1,743.90, 2,448.75 and 1,743.90 is: 2,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.90 : 2,448.75 = 1,743.90 : x
  2. Step 2: Convert to fraction form
    1,743.90/2,448.75 = 1,743.90/x
  3. Step 3: Cross multiply
    1,743.90x = 2,448.75 × 1,743.90
  4. Step 4: Simplify right side
    1,743.90x = 4,270,375.13
  5. Step 5: Solve for x
    x = 4,270,375.13/1,743.90
  6. Step 6: Final answer
    x = 2,448.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.