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Finding the Fourth Proportional to 2,458.62, 3,688.47 and 815.09

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Solution

The fourth proportional to 2,458.62, 3,688.47 and 815.09 is: 1,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.62 : 3,688.47 = 815.09 : x
  2. Step 2: Convert to fraction form
    2,458.62/3,688.47 = 815.09/x
  3. Step 3: Cross multiply
    2,458.62x = 3,688.47 × 815.09
  4. Step 4: Simplify right side
    2,458.62x = 3,006,416.57
  5. Step 5: Solve for x
    x = 3,006,416.57/2,458.62
  6. Step 6: Final answer
    x = 1,222.81

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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.