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Finding the Fourth Proportional to 2,504.01, 3,751.77 and 1,770.00

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Solution

The fourth proportional to 2,504.01, 3,751.77 and 1,770.00 is: 2,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.01 : 3,751.77 = 1,770.00 : x
  2. Step 2: Convert to fraction form
    2,504.01/3,751.77 = 1,770.00/x
  3. Step 3: Cross multiply
    2,504.01x = 3,751.77 × 1,770.00
  4. Step 4: Simplify right side
    2,504.01x = 6,640,636.62
  5. Step 5: Solve for x
    x = 6,640,636.62/2,504.01
  6. Step 6: Final answer
    x = 2,652.00

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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.