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Finding the Fourth Proportional to 2,635.02, 3,952.26 and 687.06

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Solution

The fourth proportional to 2,635.02, 3,952.26 and 687.06 is: 1,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.02 : 3,952.26 = 687.06 : x
  2. Step 2: Convert to fraction form
    2,635.02/3,952.26 = 687.06/x
  3. Step 3: Cross multiply
    2,635.02x = 3,952.26 × 687.06
  4. Step 4: Simplify right side
    2,635.02x = 2,715,439.76
  5. Step 5: Solve for x
    x = 2,715,439.76/2,635.02
  6. Step 6: Final answer
    x = 1,030.52

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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.