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Finding the Fourth Proportional to 2,676.16, 4,015.52 and 945.60

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Solution

The fourth proportional to 2,676.16, 4,015.52 and 945.60 is: 1,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.16 : 4,015.52 = 945.60 : x
  2. Step 2: Convert to fraction form
    2,676.16/4,015.52 = 945.60/x
  3. Step 3: Cross multiply
    2,676.16x = 4,015.52 × 945.60
  4. Step 4: Simplify right side
    2,676.16x = 3,797,075.71
  5. Step 5: Solve for x
    x = 3,797,075.71/2,676.16
  6. Step 6: Final answer
    x = 1,418.85

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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.