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Finding the Fourth Proportional to 1,846.24, 2,767.02 and 1,537.72

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Solution

The fourth proportional to 1,846.24, 2,767.02 and 1,537.72 is: 2,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.24 : 2,767.02 = 1,537.72 : x
  2. Step 2: Convert to fraction form
    1,846.24/2,767.02 = 1,537.72/x
  3. Step 3: Cross multiply
    1,846.24x = 2,767.02 × 1,537.72
  4. Step 4: Simplify right side
    1,846.24x = 4,254,901.99
  5. Step 5: Solve for x
    x = 4,254,901.99/1,846.24
  6. Step 6: Final answer
    x = 2,304.63

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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.