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Finding the Fourth Proportional to 2,654.08, 3,661.62 and 1,605.76

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Solution

The fourth proportional to 2,654.08, 3,661.62 and 1,605.76 is: 2,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.08 : 3,661.62 = 1,605.76 : x
  2. Step 2: Convert to fraction form
    2,654.08/3,661.62 = 1,605.76/x
  3. Step 3: Cross multiply
    2,654.08x = 3,661.62 × 1,605.76
  4. Step 4: Simplify right side
    2,654.08x = 5,879,682.93
  5. Step 5: Solve for x
    x = 5,879,682.93/2,654.08
  6. Step 6: Final answer
    x = 2,215.34

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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.