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Finding the Fourth Proportional to 1,611.53, 2,223.93 and 903.44

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Solution

The fourth proportional to 1,611.53, 2,223.93 and 903.44 is: 1,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.53 : 2,223.93 = 903.44 : x
  2. Step 2: Convert to fraction form
    1,611.53/2,223.93 = 903.44/x
  3. Step 3: Cross multiply
    1,611.53x = 2,223.93 × 903.44
  4. Step 4: Simplify right side
    1,611.53x = 2,009,187.32
  5. Step 5: Solve for x
    x = 2,009,187.32/1,611.53
  6. Step 6: Final answer
    x = 1,246.76

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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.