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Finding the Fourth Proportional to 1,904.68, 2,855.92 and 792.80

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Solution

The fourth proportional to 1,904.68, 2,855.92 and 792.80 is: 1,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.68 : 2,855.92 = 792.80 : x
  2. Step 2: Convert to fraction form
    1,904.68/2,855.92 = 792.80/x
  3. Step 3: Cross multiply
    1,904.68x = 2,855.92 × 792.80
  4. Step 4: Simplify right side
    1,904.68x = 2,264,173.38
  5. Step 5: Solve for x
    x = 2,264,173.38/1,904.68
  6. Step 6: Final answer
    x = 1,188.74

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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.