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Finding the Fourth Proportional to 2,775.96, 3,830.60 and 1,597.11

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Solution

The fourth proportional to 2,775.96, 3,830.60 and 1,597.11 is: 2,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.96 : 3,830.60 = 1,597.11 : x
  2. Step 2: Convert to fraction form
    2,775.96/3,830.60 = 1,597.11/x
  3. Step 3: Cross multiply
    2,775.96x = 3,830.60 × 1,597.11
  4. Step 4: Simplify right side
    2,775.96x = 6,117,889.57
  5. Step 5: Solve for x
    x = 6,117,889.57/2,775.96
  6. Step 6: Final answer
    x = 2,203.88

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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.