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Finding the Fourth Proportional to 2,604.62, 3,594.62 and 1,556.66

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Solution

The fourth proportional to 2,604.62, 3,594.62 and 1,556.66 is: 2,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.62 : 3,594.62 = 1,556.66 : x
  2. Step 2: Convert to fraction form
    2,604.62/3,594.62 = 1,556.66/x
  3. Step 3: Cross multiply
    2,604.62x = 3,594.62 × 1,556.66
  4. Step 4: Simplify right side
    2,604.62x = 5,595,601.17
  5. Step 5: Solve for x
    x = 5,595,601.17/2,604.62
  6. Step 6: Final answer
    x = 2,148.34

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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.