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Finding the Fourth Proportional to 2,375.19, 3,563.56 and 1,142.70

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Solution

The fourth proportional to 2,375.19, 3,563.56 and 1,142.70 is: 1,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.19 : 3,563.56 = 1,142.70 : x
  2. Step 2: Convert to fraction form
    2,375.19/3,563.56 = 1,142.70/x
  3. Step 3: Cross multiply
    2,375.19x = 3,563.56 × 1,142.70
  4. Step 4: Simplify right side
    2,375.19x = 4,072,080.01
  5. Step 5: Solve for x
    x = 4,072,080.01/2,375.19
  6. Step 6: Final answer
    x = 1,714.42

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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.