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Finding the Fourth Proportional to 1,599.54, 2,205.99 and 1,101.39

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Solution

The fourth proportional to 1,599.54, 2,205.99 and 1,101.39 is: 1,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.54 : 2,205.99 = 1,101.39 : x
  2. Step 2: Convert to fraction form
    1,599.54/2,205.99 = 1,101.39/x
  3. Step 3: Cross multiply
    1,599.54x = 2,205.99 × 1,101.39
  4. Step 4: Simplify right side
    1,599.54x = 2,429,655.33
  5. Step 5: Solve for x
    x = 2,429,655.33/1,599.54
  6. Step 6: Final answer
    x = 1,518.97

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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.