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Finding the Fourth Proportional to 2,353.47, 3,527.74 and 792.93

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Solution

The fourth proportional to 2,353.47, 3,527.74 and 792.93 is: 1,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.47 : 3,527.74 = 792.93 : x
  2. Step 2: Convert to fraction form
    2,353.47/3,527.74 = 792.93/x
  3. Step 3: Cross multiply
    2,353.47x = 3,527.74 × 792.93
  4. Step 4: Simplify right side
    2,353.47x = 2,797,265.10
  5. Step 5: Solve for x
    x = 2,797,265.10/2,353.47
  6. Step 6: Final answer
    x = 1,188.57

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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.