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Finding the Fourth Proportional to 2,170.65, 2,995.46 and 1,175.92

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Solution

The fourth proportional to 2,170.65, 2,995.46 and 1,175.92 is: 1,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.65 : 2,995.46 = 1,175.92 : x
  2. Step 2: Convert to fraction form
    2,170.65/2,995.46 = 1,175.92/x
  3. Step 3: Cross multiply
    2,170.65x = 2,995.46 × 1,175.92
  4. Step 4: Simplify right side
    2,170.65x = 3,522,421.32
  5. Step 5: Solve for x
    x = 3,522,421.32/2,170.65
  6. Step 6: Final answer
    x = 1,622.75

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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.