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Finding the Fourth Proportional to 2,884.31, 3,980.37 and 1,690.00

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Solution

The fourth proportional to 2,884.31, 3,980.37 and 1,690.00 is: 2,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.31 : 3,980.37 = 1,690.00 : x
  2. Step 2: Convert to fraction form
    2,884.31/3,980.37 = 1,690.00/x
  3. Step 3: Cross multiply
    2,884.31x = 3,980.37 × 1,690.00
  4. Step 4: Simplify right side
    2,884.31x = 6,726,834.57
  5. Step 5: Solve for x
    x = 6,726,834.57/2,884.31
  6. Step 6: Final answer
    x = 2,332.21

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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.