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Finding the Fourth Proportional to 2,433.00, 3,636.16 and 1,776.26

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Solution

The fourth proportional to 2,433.00, 3,636.16 and 1,776.26 is: 2,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.00 : 3,636.16 = 1,776.26 : x
  2. Step 2: Convert to fraction form
    2,433.00/3,636.16 = 1,776.26/x
  3. Step 3: Cross multiply
    2,433.00x = 3,636.16 × 1,776.26
  4. Step 4: Simplify right side
    2,433.00x = 6,458,759.75
  5. Step 5: Solve for x
    x = 6,458,759.75/2,433.00
  6. Step 6: Final answer
    x = 2,654.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.