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Finding the Fourth Proportional to 1,967.22, 2,956.32 and 1,145.70

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Solution

The fourth proportional to 1,967.22, 2,956.32 and 1,145.70 is: 1,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.22 : 2,956.32 = 1,145.70 : x
  2. Step 2: Convert to fraction form
    1,967.22/2,956.32 = 1,145.70/x
  3. Step 3: Cross multiply
    1,967.22x = 2,956.32 × 1,145.70
  4. Step 4: Simplify right side
    1,967.22x = 3,387,055.82
  5. Step 5: Solve for x
    x = 3,387,055.82/1,967.22
  6. Step 6: Final answer
    x = 1,721.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.