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Finding the Fourth Proportional to 2,945.57, 4,065.12 and 1,687.03

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Solution

The fourth proportional to 2,945.57, 4,065.12 and 1,687.03 is: 2,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.57 : 4,065.12 = 1,687.03 : x
  2. Step 2: Convert to fraction form
    2,945.57/4,065.12 = 1,687.03/x
  3. Step 3: Cross multiply
    2,945.57x = 4,065.12 × 1,687.03
  4. Step 4: Simplify right side
    2,945.57x = 6,857,969.23
  5. Step 5: Solve for x
    x = 6,857,969.23/2,945.57
  6. Step 6: Final answer
    x = 2,328.24

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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.