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Finding the Fourth Proportional to 2,507.59, 3,762.82 and 1,958.23

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Solution

The fourth proportional to 2,507.59, 3,762.82 and 1,958.23 is: 2,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.59 : 3,762.82 = 1,958.23 : x
  2. Step 2: Convert to fraction form
    2,507.59/3,762.82 = 1,958.23/x
  3. Step 3: Cross multiply
    2,507.59x = 3,762.82 × 1,958.23
  4. Step 4: Simplify right side
    2,507.59x = 7,368,460.05
  5. Step 5: Solve for x
    x = 7,368,460.05/2,507.59
  6. Step 6: Final answer
    x = 2,938.47

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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.