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Finding the Fourth Proportional to 1,674.19, 2,524.13 and 1,561.27

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Solution

The fourth proportional to 1,674.19, 2,524.13 and 1,561.27 is: 2,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.19 : 2,524.13 = 1,561.27 : x
  2. Step 2: Convert to fraction form
    1,674.19/2,524.13 = 1,561.27/x
  3. Step 3: Cross multiply
    1,674.19x = 2,524.13 × 1,561.27
  4. Step 4: Simplify right side
    1,674.19x = 3,940,848.45
  5. Step 5: Solve for x
    x = 3,940,848.45/1,674.19
  6. Step 6: Final answer
    x = 2,353.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.