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Finding the Fourth Proportional to 2,536.22, 3,499.02 and 1,874.66

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Solution

The fourth proportional to 2,536.22, 3,499.02 and 1,874.66 is: 2,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.22 : 3,499.02 = 1,874.66 : x
  2. Step 2: Convert to fraction form
    2,536.22/3,499.02 = 1,874.66/x
  3. Step 3: Cross multiply
    2,536.22x = 3,499.02 × 1,874.66
  4. Step 4: Simplify right side
    2,536.22x = 6,559,472.83
  5. Step 5: Solve for x
    x = 6,559,472.83/2,536.22
  6. Step 6: Final answer
    x = 2,586.32

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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.