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Finding the Fourth Proportional to 1,674.54, 2,494.98 and 1,611.72

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Solution

The fourth proportional to 1,674.54, 2,494.98 and 1,611.72 is: 2,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.54 : 2,494.98 = 1,611.72 : x
  2. Step 2: Convert to fraction form
    1,674.54/2,494.98 = 1,611.72/x
  3. Step 3: Cross multiply
    1,674.54x = 2,494.98 × 1,611.72
  4. Step 4: Simplify right side
    1,674.54x = 4,021,209.17
  5. Step 5: Solve for x
    x = 4,021,209.17/1,674.54
  6. Step 6: Final answer
    x = 2,401.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.