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Finding the Fourth Proportional to 2,294.00, 3,435.92 and 1,770.19

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Solution

The fourth proportional to 2,294.00, 3,435.92 and 1,770.19 is: 2,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.00 : 3,435.92 = 1,770.19 : x
  2. Step 2: Convert to fraction form
    2,294.00/3,435.92 = 1,770.19/x
  3. Step 3: Cross multiply
    2,294.00x = 3,435.92 × 1,770.19
  4. Step 4: Simplify right side
    2,294.00x = 6,082,220.42
  5. Step 5: Solve for x
    x = 6,082,220.42/2,294.00
  6. Step 6: Final answer
    x = 2,651.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.