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Finding the Fourth Proportional to 2,666.39, 3,678.17 and 1,815.38

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Solution

The fourth proportional to 2,666.39, 3,678.17 and 1,815.38 is: 2,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.39 : 3,678.17 = 1,815.38 : x
  2. Step 2: Convert to fraction form
    2,666.39/3,678.17 = 1,815.38/x
  3. Step 3: Cross multiply
    2,666.39x = 3,678.17 × 1,815.38
  4. Step 4: Simplify right side
    2,666.39x = 6,677,262.58
  5. Step 5: Solve for x
    x = 6,677,262.58/2,666.39
  6. Step 6: Final answer
    x = 2,504.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.