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Finding the Fourth Proportional to 2,614.76, 3,633.39 and 2,582.12

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Solution

The fourth proportional to 2,614.76, 3,633.39 and 2,582.12 is: 3,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.76 : 3,633.39 = 2,582.12 : x
  2. Step 2: Convert to fraction form
    2,614.76/3,633.39 = 2,582.12/x
  3. Step 3: Cross multiply
    2,614.76x = 3,633.39 × 2,582.12
  4. Step 4: Simplify right side
    2,614.76x = 9,381,848.99
  5. Step 5: Solve for x
    x = 9,381,848.99/2,614.76
  6. Step 6: Final answer
    x = 3,588.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.