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Finding the Fourth Proportional to 2,765.68, 3,815.00 and 1,770.59

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Solution

The fourth proportional to 2,765.68, 3,815.00 and 1,770.59 is: 2,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.68 : 3,815.00 = 1,770.59 : x
  2. Step 2: Convert to fraction form
    2,765.68/3,815.00 = 1,770.59/x
  3. Step 3: Cross multiply
    2,765.68x = 3,815.00 × 1,770.59
  4. Step 4: Simplify right side
    2,765.68x = 6,754,808.17
  5. Step 5: Solve for x
    x = 6,754,808.17/2,765.68
  6. Step 6: Final answer
    x = 2,442.37

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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.