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Finding the Fourth Proportional to 2,025.94, 3,036.86 and 792.58

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Solution

The fourth proportional to 2,025.94, 3,036.86 and 792.58 is: 1,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.94 : 3,036.86 = 792.58 : x
  2. Step 2: Convert to fraction form
    2,025.94/3,036.86 = 792.58/x
  3. Step 3: Cross multiply
    2,025.94x = 3,036.86 × 792.58
  4. Step 4: Simplify right side
    2,025.94x = 2,406,954.50
  5. Step 5: Solve for x
    x = 2,406,954.50/2,025.94
  6. Step 6: Final answer
    x = 1,188.07

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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.