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Finding the Fourth Proportional to 2,735.84, 3,775.48 and 1,556.96

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Solution

The fourth proportional to 2,735.84, 3,775.48 and 1,556.96 is: 2,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.84 : 3,775.48 = 1,556.96 : x
  2. Step 2: Convert to fraction form
    2,735.84/3,775.48 = 1,556.96/x
  3. Step 3: Cross multiply
    2,735.84x = 3,775.48 × 1,556.96
  4. Step 4: Simplify right side
    2,735.84x = 5,878,248.57
  5. Step 5: Solve for x
    x = 5,878,248.57/2,735.84
  6. Step 6: Final answer
    x = 2,148.61

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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.