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Finding the Fourth Proportional to 2,375.49, 3,563.12 and 1,595.82

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Solution

The fourth proportional to 2,375.49, 3,563.12 and 1,595.82 is: 2,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.49 : 3,563.12 = 1,595.82 : x
  2. Step 2: Convert to fraction form
    2,375.49/3,563.12 = 1,595.82/x
  3. Step 3: Cross multiply
    2,375.49x = 3,563.12 × 1,595.82
  4. Step 4: Simplify right side
    2,375.49x = 5,686,072.36
  5. Step 5: Solve for x
    x = 5,686,072.36/2,375.49
  6. Step 6: Final answer
    x = 2,393.65

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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.