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Finding the Fourth Proportional to 2,484.35, 3,725.61 and 728.88

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Solution

The fourth proportional to 2,484.35, 3,725.61 and 728.88 is: 1,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.35 : 3,725.61 = 728.88 : x
  2. Step 2: Convert to fraction form
    2,484.35/3,725.61 = 728.88/x
  3. Step 3: Cross multiply
    2,484.35x = 3,725.61 × 728.88
  4. Step 4: Simplify right side
    2,484.35x = 2,715,522.62
  5. Step 5: Solve for x
    x = 2,715,522.62/2,484.35
  6. Step 6: Final answer
    x = 1,093.05

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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.