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Finding the Fourth Proportional to 2,353.35, 3,530.34 and 792.69

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Solution

The fourth proportional to 2,353.35, 3,530.34 and 792.69 is: 1,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.35 : 3,530.34 = 792.69 : x
  2. Step 2: Convert to fraction form
    2,353.35/3,530.34 = 792.69/x
  3. Step 3: Cross multiply
    2,353.35x = 3,530.34 × 792.69
  4. Step 4: Simplify right side
    2,353.35x = 2,798,465.21
  5. Step 5: Solve for x
    x = 2,798,465.21/2,353.35
  6. Step 6: Final answer
    x = 1,189.14

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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.