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Finding the Fourth Proportional to 2,735.66, 3,775.25 and 1,556.72

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Solution

The fourth proportional to 2,735.66, 3,775.25 and 1,556.72 is: 2,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.66 : 3,775.25 = 1,556.72 : x
  2. Step 2: Convert to fraction form
    2,735.66/3,775.25 = 1,556.72/x
  3. Step 3: Cross multiply
    2,735.66x = 3,775.25 × 1,556.72
  4. Step 4: Simplify right side
    2,735.66x = 5,877,007.18
  5. Step 5: Solve for x
    x = 5,877,007.18/2,735.66
  6. Step 6: Final answer
    x = 2,148.30

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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.