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Finding the Fourth Proportional to 1,620.54, 2,238.03 and 1,124.01

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Solution

The fourth proportional to 1,620.54, 2,238.03 and 1,124.01 is: 1,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.54 : 2,238.03 = 1,124.01 : x
  2. Step 2: Convert to fraction form
    1,620.54/2,238.03 = 1,124.01/x
  3. Step 3: Cross multiply
    1,620.54x = 2,238.03 × 1,124.01
  4. Step 4: Simplify right side
    1,620.54x = 2,515,568.10
  5. Step 5: Solve for x
    x = 2,515,568.10/1,620.54
  6. Step 6: Final answer
    x = 1,552.30

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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.