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Finding the Fourth Proportional to 2,129.90, 2,938.75 and 1,198.40

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Solution

The fourth proportional to 2,129.90, 2,938.75 and 1,198.40 is: 1,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.90 : 2,938.75 = 1,198.40 : x
  2. Step 2: Convert to fraction form
    2,129.90/2,938.75 = 1,198.40/x
  3. Step 3: Cross multiply
    2,129.90x = 2,938.75 × 1,198.40
  4. Step 4: Simplify right side
    2,129.90x = 3,521,780.31
  5. Step 5: Solve for x
    x = 3,521,780.31/2,129.90
  6. Step 6: Final answer
    x = 1,653.50

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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.