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Finding the Fourth Proportional to 2,964.39, 4,445.34 and 1,114.21

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Solution

The fourth proportional to 2,964.39, 4,445.34 and 1,114.21 is: 1,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.39 : 4,445.34 = 1,114.21 : x
  2. Step 2: Convert to fraction form
    2,964.39/4,445.34 = 1,114.21/x
  3. Step 3: Cross multiply
    2,964.39x = 4,445.34 × 1,114.21
  4. Step 4: Simplify right side
    2,964.39x = 4,953,042.28
  5. Step 5: Solve for x
    x = 4,953,042.28/2,964.39
  6. Step 6: Final answer
    x = 1,670.85

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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.