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Finding the Fourth Proportional to 2,635.86, 3,953.71 and 688.06

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Solution

The fourth proportional to 2,635.86, 3,953.71 and 688.06 is: 1,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.86 : 3,953.71 = 688.06 : x
  2. Step 2: Convert to fraction form
    2,635.86/3,953.71 = 688.06/x
  3. Step 3: Cross multiply
    2,635.86x = 3,953.71 × 688.06
  4. Step 4: Simplify right side
    2,635.86x = 2,720,378.10
  5. Step 5: Solve for x
    x = 2,720,378.10/2,635.86
  6. Step 6: Final answer
    x = 1,032.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.