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Finding the Fourth Proportional to 2,958.85, 4,437.02 and 1,314.27

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Solution

The fourth proportional to 2,958.85, 4,437.02 and 1,314.27 is: 1,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.85 : 4,437.02 = 1,314.27 : x
  2. Step 2: Convert to fraction form
    2,958.85/4,437.02 = 1,314.27/x
  3. Step 3: Cross multiply
    2,958.85x = 4,437.02 × 1,314.27
  4. Step 4: Simplify right side
    2,958.85x = 5,831,435.70
  5. Step 5: Solve for x
    x = 5,831,435.70/2,958.85
  6. Step 6: Final answer
    x = 1,970.85

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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.