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Finding the Fourth Proportional to 2,175.84, 3,261.51 and 942.21

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Solution

The fourth proportional to 2,175.84, 3,261.51 and 942.21 is: 1,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.84 : 3,261.51 = 942.21 : x
  2. Step 2: Convert to fraction form
    2,175.84/3,261.51 = 942.21/x
  3. Step 3: Cross multiply
    2,175.84x = 3,261.51 × 942.21
  4. Step 4: Simplify right side
    2,175.84x = 3,073,027.34
  5. Step 5: Solve for x
    x = 3,073,027.34/2,175.84
  6. Step 6: Final answer
    x = 1,412.34

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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.