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Finding the Fourth Proportional to 1,956.30, 2,700.17 and 1,159.66

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Solution

The fourth proportional to 1,956.30, 2,700.17 and 1,159.66 is: 1,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.30 : 2,700.17 = 1,159.66 : x
  2. Step 2: Convert to fraction form
    1,956.30/2,700.17 = 1,159.66/x
  3. Step 3: Cross multiply
    1,956.30x = 2,700.17 × 1,159.66
  4. Step 4: Simplify right side
    1,956.30x = 3,131,279.14
  5. Step 5: Solve for x
    x = 3,131,279.14/1,956.30
  6. Step 6: Final answer
    x = 1,600.61

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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.