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Finding the Fourth Proportional to 2,625.72, 3,623.74 and 1,447.06

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Solution

The fourth proportional to 2,625.72, 3,623.74 and 1,447.06 is: 1,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.72 : 3,623.74 = 1,447.06 : x
  2. Step 2: Convert to fraction form
    2,625.72/3,623.74 = 1,447.06/x
  3. Step 3: Cross multiply
    2,625.72x = 3,623.74 × 1,447.06
  4. Step 4: Simplify right side
    2,625.72x = 5,243,769.20
  5. Step 5: Solve for x
    x = 5,243,769.20/2,625.72
  6. Step 6: Final answer
    x = 1,997.08

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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.