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Finding the Fourth Proportional to 2,375.69, 3,564.30 and 1,142.93

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Solution

The fourth proportional to 2,375.69, 3,564.30 and 1,142.93 is: 1,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.69 : 3,564.30 = 1,142.93 : x
  2. Step 2: Convert to fraction form
    2,375.69/3,564.30 = 1,142.93/x
  3. Step 3: Cross multiply
    2,375.69x = 3,564.30 × 1,142.93
  4. Step 4: Simplify right side
    2,375.69x = 4,073,739.68
  5. Step 5: Solve for x
    x = 4,073,739.68/2,375.69
  6. Step 6: Final answer
    x = 1,714.76

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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.