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Finding the Fourth Proportional to 2,958.65, 4,437.82 and 1,109.64

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Solution

The fourth proportional to 2,958.65, 4,437.82 and 1,109.64 is: 1,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.65 : 4,437.82 = 1,109.64 : x
  2. Step 2: Convert to fraction form
    2,958.65/4,437.82 = 1,109.64/x
  3. Step 3: Cross multiply
    2,958.65x = 4,437.82 × 1,109.64
  4. Step 4: Simplify right side
    2,958.65x = 4,924,377.04
  5. Step 5: Solve for x
    x = 4,924,377.04/2,958.65
  6. Step 6: Final answer
    x = 1,664.40

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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.