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Finding the Fourth Proportional to 2,170.03, 2,994.67 and 1,175.34

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Solution

The fourth proportional to 2,170.03, 2,994.67 and 1,175.34 is: 1,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.03 : 2,994.67 = 1,175.34 : x
  2. Step 2: Convert to fraction form
    2,170.03/2,994.67 = 1,175.34/x
  3. Step 3: Cross multiply
    2,170.03x = 2,994.67 × 1,175.34
  4. Step 4: Simplify right side
    2,170.03x = 3,519,761.82
  5. Step 5: Solve for x
    x = 3,519,761.82/2,170.03
  6. Step 6: Final answer
    x = 1,621.99

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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.