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Finding the Fourth Proportional to 2,375.99, 3,564.47 and 732.50

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Solution

The fourth proportional to 2,375.99, 3,564.47 and 732.50 is: 1,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.99 : 3,564.47 = 732.50 : x
  2. Step 2: Convert to fraction form
    2,375.99/3,564.47 = 732.50/x
  3. Step 3: Cross multiply
    2,375.99x = 3,564.47 × 732.50
  4. Step 4: Simplify right side
    2,375.99x = 2,610,958.28
  5. Step 5: Solve for x
    x = 2,610,958.28/2,375.99
  6. Step 6: Final answer
    x = 1,098.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.