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Finding the Fourth Proportional to 2,331.30, 3,495.91 and 687.27

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Solution

The fourth proportional to 2,331.30, 3,495.91 and 687.27 is: 1,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.30 : 3,495.91 = 687.27 : x
  2. Step 2: Convert to fraction form
    2,331.30/3,495.91 = 687.27/x
  3. Step 3: Cross multiply
    2,331.30x = 3,495.91 × 687.27
  4. Step 4: Simplify right side
    2,331.30x = 2,402,634.07
  5. Step 5: Solve for x
    x = 2,402,634.07/2,331.30
  6. Step 6: Final answer
    x = 1,030.60

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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.