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Finding the Fourth Proportional to 2,353.23, 3,529.70 and 709.83

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Solution

The fourth proportional to 2,353.23, 3,529.70 and 709.83 is: 1,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.23 : 3,529.70 = 709.83 : x
  2. Step 2: Convert to fraction form
    2,353.23/3,529.70 = 709.83/x
  3. Step 3: Cross multiply
    2,353.23x = 3,529.70 × 709.83
  4. Step 4: Simplify right side
    2,353.23x = 2,505,483.40
  5. Step 5: Solve for x
    x = 2,505,483.40/2,353.23
  6. Step 6: Final answer
    x = 1,064.70

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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.