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Finding the Fourth Proportional to 2,059.37, 2,841.72 and 1,175

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Solution

The fourth proportional to 2,059.37, 2,841.72 and 1,175 is: 1,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.37 : 2,841.72 = 1,175 : x
  2. Step 2: Convert to fraction form
    2,059.37/2,841.72 = 1,175/x
  3. Step 3: Cross multiply
    2,059.37x = 2,841.72 × 1,175
  4. Step 4: Simplify right side
    2,059.37x = 3,339,015.13
  5. Step 5: Solve for x
    x = 3,339,015.13/2,059.37
  6. Step 6: Final answer
    x = 1,621.38

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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.