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Finding the Fourth Proportional to 2,751.19, 3,783.58 and 2,185.00

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Solution

The fourth proportional to 2,751.19, 3,783.58 and 2,185.00 is: 3,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.19 : 3,783.58 = 2,185.00 : x
  2. Step 2: Convert to fraction form
    2,751.19/3,783.58 = 2,185.00/x
  3. Step 3: Cross multiply
    2,751.19x = 3,783.58 × 2,185.00
  4. Step 4: Simplify right side
    2,751.19x = 8,267,107.38
  5. Step 5: Solve for x
    x = 8,267,107.38/2,751.19
  6. Step 6: Final answer
    x = 3,004.92

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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.