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Finding the Fourth Proportional to 2,536.81, 3,500.97 and 1,417.75

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Solution

The fourth proportional to 2,536.81, 3,500.97 and 1,417.75 is: 1,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.81 : 3,500.97 = 1,417.75 : x
  2. Step 2: Convert to fraction form
    2,536.81/3,500.97 = 1,417.75/x
  3. Step 3: Cross multiply
    2,536.81x = 3,500.97 × 1,417.75
  4. Step 4: Simplify right side
    2,536.81x = 4,963,500.22
  5. Step 5: Solve for x
    x = 4,963,500.22/2,536.81
  6. Step 6: Final answer
    x = 1,956.59

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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.