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Finding the Fourth Proportional to 1,889.68, 2,607.38 and 1,103.52

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Solution

The fourth proportional to 1,889.68, 2,607.38 and 1,103.52 is: 1,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.68 : 2,607.38 = 1,103.52 : x
  2. Step 2: Convert to fraction form
    1,889.68/2,607.38 = 1,103.52/x
  3. Step 3: Cross multiply
    1,889.68x = 2,607.38 × 1,103.52
  4. Step 4: Simplify right side
    1,889.68x = 2,877,295.98
  5. Step 5: Solve for x
    x = 2,877,295.98/1,889.68
  6. Step 6: Final answer
    x = 1,522.64

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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.