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Finding the Fourth Proportional to 1,611.09, 2,223 and 912.45

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Solution

The fourth proportional to 1,611.09, 2,223 and 912.45 is: 1,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.09 : 2,223 = 912.45 : x
  2. Step 2: Convert to fraction form
    1,611.09/2,223 = 912.45/x
  3. Step 3: Cross multiply
    1,611.09x = 2,223 × 912.45
  4. Step 4: Simplify right side
    1,611.09x = 2,028,376.35
  5. Step 5: Solve for x
    x = 2,028,376.35/1,611.09
  6. Step 6: Final answer
    x = 1,259.01

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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.