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Finding the Fourth Proportional to 2,958.07, 4,437.11 and 767.02

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Solution

The fourth proportional to 2,958.07, 4,437.11 and 767.02 is: 1,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.07 : 4,437.11 = 767.02 : x
  2. Step 2: Convert to fraction form
    2,958.07/4,437.11 = 767.02/x
  3. Step 3: Cross multiply
    2,958.07x = 4,437.11 × 767.02
  4. Step 4: Simplify right side
    2,958.07x = 3,403,352.11
  5. Step 5: Solve for x
    x = 3,403,352.11/2,958.07
  6. Step 6: Final answer
    x = 1,150.53

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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.