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Finding the Fourth Proportional to 2,352.99, 3,530.02 and 792.95

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Solution

The fourth proportional to 2,352.99, 3,530.02 and 792.95 is: 1,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.99 : 3,530.02 = 792.95 : x
  2. Step 2: Convert to fraction form
    2,352.99/3,530.02 = 792.95/x
  3. Step 3: Cross multiply
    2,352.99x = 3,530.02 × 792.95
  4. Step 4: Simplify right side
    2,352.99x = 2,799,129.36
  5. Step 5: Solve for x
    x = 2,799,129.36/2,352.99
  6. Step 6: Final answer
    x = 1,189.61

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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.