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Finding the Fourth Proportional to 2,170.48, 2,995.26 and 1,175.76

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Solution

The fourth proportional to 2,170.48, 2,995.26 and 1,175.76 is: 1,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.48 : 2,995.26 = 1,175.76 : x
  2. Step 2: Convert to fraction form
    2,170.48/2,995.26 = 1,175.76/x
  3. Step 3: Cross multiply
    2,170.48x = 2,995.26 × 1,175.76
  4. Step 4: Simplify right side
    2,170.48x = 3,521,706.90
  5. Step 5: Solve for x
    x = 3,521,706.90/2,170.48
  6. Step 6: Final answer
    x = 1,622.55

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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.