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Finding the Fourth Proportional to 2,496.26, 3,445.26 and 1,448.66

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Solution

The fourth proportional to 2,496.26, 3,445.26 and 1,448.66 is: 1,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.26 : 3,445.26 = 1,448.66 : x
  2. Step 2: Convert to fraction form
    2,496.26/3,445.26 = 1,448.66/x
  3. Step 3: Cross multiply
    2,496.26x = 3,445.26 × 1,448.66
  4. Step 4: Simplify right side
    2,496.26x = 4,991,010.35
  5. Step 5: Solve for x
    x = 4,991,010.35/2,496.26
  6. Step 6: Final answer
    x = 1,999.40

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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.