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Finding the Fourth Proportional to 2,735.97, 3,775.60 and 1,557.02

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Solution

The fourth proportional to 2,735.97, 3,775.60 and 1,557.02 is: 2,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.97 : 3,775.60 = 1,557.02 : x
  2. Step 2: Convert to fraction form
    2,735.97/3,775.60 = 1,557.02/x
  3. Step 3: Cross multiply
    2,735.97x = 3,775.60 × 1,557.02
  4. Step 4: Simplify right side
    2,735.97x = 5,878,658.05
  5. Step 5: Solve for x
    x = 5,878,658.05/2,735.97
  6. Step 6: Final answer
    x = 2,148.66

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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.