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Finding the Fourth Proportional to 1,953.67, 2,694.31 and 1,291.20

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Solution

The fourth proportional to 1,953.67, 2,694.31 and 1,291.20 is: 1,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.67 : 2,694.31 = 1,291.20 : x
  2. Step 2: Convert to fraction form
    1,953.67/2,694.31 = 1,291.20/x
  3. Step 3: Cross multiply
    1,953.67x = 2,694.31 × 1,291.20
  4. Step 4: Simplify right side
    1,953.67x = 3,478,893.07
  5. Step 5: Solve for x
    x = 3,478,893.07/1,953.67
  6. Step 6: Final answer
    x = 1,780.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.