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Finding the Fourth Proportional to 2,375.32, 3,562.50 and 709.24

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Solution

The fourth proportional to 2,375.32, 3,562.50 and 709.24 is: 1,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.32 : 3,562.50 = 709.24 : x
  2. Step 2: Convert to fraction form
    2,375.32/3,562.50 = 709.24/x
  3. Step 3: Cross multiply
    2,375.32x = 3,562.50 × 709.24
  4. Step 4: Simplify right side
    2,375.32x = 2,526,667.50
  5. Step 5: Solve for x
    x = 2,526,667.50/2,375.32
  6. Step 6: Final answer
    x = 1,063.72

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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.