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Finding the Fourth Proportional to 2,846.00, 4,269.84 and 1,460.31

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Solution

The fourth proportional to 2,846.00, 4,269.84 and 1,460.31 is: 2,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.00 : 4,269.84 = 1,460.31 : x
  2. Step 2: Convert to fraction form
    2,846.00/4,269.84 = 1,460.31/x
  3. Step 3: Cross multiply
    2,846.00x = 4,269.84 × 1,460.31
  4. Step 4: Simplify right side
    2,846.00x = 6,235,274.04
  5. Step 5: Solve for x
    x = 6,235,274.04/2,846.00
  6. Step 6: Final answer
    x = 2,190.89

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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.