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Finding the Fourth Proportional to 2,496.24, 3,447.72 and 1,905.48

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Solution

The fourth proportional to 2,496.24, 3,447.72 and 1,905.48 is: 2,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.24 : 3,447.72 = 1,905.48 : x
  2. Step 2: Convert to fraction form
    2,496.24/3,447.72 = 1,905.48/x
  3. Step 3: Cross multiply
    2,496.24x = 3,447.72 × 1,905.48
  4. Step 4: Simplify right side
    2,496.24x = 6,569,561.51
  5. Step 5: Solve for x
    x = 6,569,561.51/2,496.24
  6. Step 6: Final answer
    x = 2,631.78

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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.