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Finding the Fourth Proportional to 2,170.16, 2,994.82 and 1,175.45

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Solution

The fourth proportional to 2,170.16, 2,994.82 and 1,175.45 is: 1,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.16 : 2,994.82 = 1,175.45 : x
  2. Step 2: Convert to fraction form
    2,170.16/2,994.82 = 1,175.45/x
  3. Step 3: Cross multiply
    2,170.16x = 2,994.82 × 1,175.45
  4. Step 4: Simplify right side
    2,170.16x = 3,520,261.17
  5. Step 5: Solve for x
    x = 3,520,261.17/2,170.16
  6. Step 6: Final answer
    x = 1,622.12

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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.