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Finding the Fourth Proportional to 1,638.45, 2,256.09 and 1,400.60

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Solution

The fourth proportional to 1,638.45, 2,256.09 and 1,400.60 is: 1,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.45 : 2,256.09 = 1,400.60 : x
  2. Step 2: Convert to fraction form
    1,638.45/2,256.09 = 1,400.60/x
  3. Step 3: Cross multiply
    1,638.45x = 2,256.09 × 1,400.60
  4. Step 4: Simplify right side
    1,638.45x = 3,159,868.37
  5. Step 5: Solve for x
    x = 3,159,868.37/1,638.45
  6. Step 6: Final answer
    x = 1,928.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.