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Finding the Fourth Proportional to 2,536.71, 3,500.73 and 1,417.77

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Solution

The fourth proportional to 2,536.71, 3,500.73 and 1,417.77 is: 1,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.71 : 3,500.73 = 1,417.77 : x
  2. Step 2: Convert to fraction form
    2,536.71/3,500.73 = 1,417.77/x
  3. Step 3: Cross multiply
    2,536.71x = 3,500.73 × 1,417.77
  4. Step 4: Simplify right side
    2,536.71x = 4,963,229.97
  5. Step 5: Solve for x
    x = 4,963,229.97/2,536.71
  6. Step 6: Final answer
    x = 1,956.56

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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.