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Finding the Fourth Proportional to 2,775.36, 3,830.65 and 1,597.11

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Solution

The fourth proportional to 2,775.36, 3,830.65 and 1,597.11 is: 2,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.36 : 3,830.65 = 1,597.11 : x
  2. Step 2: Convert to fraction form
    2,775.36/3,830.65 = 1,597.11/x
  3. Step 3: Cross multiply
    2,775.36x = 3,830.65 × 1,597.11
  4. Step 4: Simplify right side
    2,775.36x = 6,117,969.42
  5. Step 5: Solve for x
    x = 6,117,969.42/2,775.36
  6. Step 6: Final answer
    x = 2,204.39

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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.