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Finding the Fourth Proportional to 2,645.56, 3,967.48 and 2,473

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Solution

The fourth proportional to 2,645.56, 3,967.48 and 2,473 is: 3,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.56 : 3,967.48 = 2,473 : x
  2. Step 2: Convert to fraction form
    2,645.56/3,967.48 = 2,473/x
  3. Step 3: Cross multiply
    2,645.56x = 3,967.48 × 2,473
  4. Step 4: Simplify right side
    2,645.56x = 9,811,578.04
  5. Step 5: Solve for x
    x = 9,811,578.04/2,645.56
  6. Step 6: Final answer
    x = 3,708.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.