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Finding the Fourth Proportional to 2,536.40, 3,494.76 and 2,095.76

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Solution

The fourth proportional to 2,536.40, 3,494.76 and 2,095.76 is: 2,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.40 : 3,494.76 = 2,095.76 : x
  2. Step 2: Convert to fraction form
    2,536.40/3,494.76 = 2,095.76/x
  3. Step 3: Cross multiply
    2,536.40x = 3,494.76 × 2,095.76
  4. Step 4: Simplify right side
    2,536.40x = 7,324,178.22
  5. Step 5: Solve for x
    x = 7,324,178.22/2,536.40
  6. Step 6: Final answer
    x = 2,887.63

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