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Finding the Fourth Proportional to 2,129.99, 2,938.70 and 1,198.31

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Solution

The fourth proportional to 2,129.99, 2,938.70 and 1,198.31 is: 1,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.99 : 2,938.70 = 1,198.31 : x
  2. Step 2: Convert to fraction form
    2,129.99/2,938.70 = 1,198.31/x
  3. Step 3: Cross multiply
    2,129.99x = 2,938.70 × 1,198.31
  4. Step 4: Simplify right side
    2,129.99x = 3,521,461.90
  5. Step 5: Solve for x
    x = 3,521,461.90/2,129.99
  6. Step 6: Final answer
    x = 1,653.28

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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.