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Finding the Fourth Proportional to 2,129.64, 2,938.82 and 1,290.20

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Solution

The fourth proportional to 2,129.64, 2,938.82 and 1,290.20 is: 1,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.64 : 2,938.82 = 1,290.20 : x
  2. Step 2: Convert to fraction form
    2,129.64/2,938.82 = 1,290.20/x
  3. Step 3: Cross multiply
    2,129.64x = 2,938.82 × 1,290.20
  4. Step 4: Simplify right side
    2,129.64x = 3,791,665.56
  5. Step 5: Solve for x
    x = 3,791,665.56/2,129.64
  6. Step 6: Final answer
    x = 1,780.43

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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.