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Finding the Fourth Proportional to 2,458.61, 3,687.04 and 792.67

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Solution

The fourth proportional to 2,458.61, 3,687.04 and 792.67 is: 1,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.61 : 3,687.04 = 792.67 : x
  2. Step 2: Convert to fraction form
    2,458.61/3,687.04 = 792.67/x
  3. Step 3: Cross multiply
    2,458.61x = 3,687.04 × 792.67
  4. Step 4: Simplify right side
    2,458.61x = 2,922,594.80
  5. Step 5: Solve for x
    x = 2,922,594.80/2,458.61
  6. Step 6: Final answer
    x = 1,188.72

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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.