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Finding the Fourth Proportional to 2,003.71, 3,005.49 and 687.03

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Solution

The fourth proportional to 2,003.71, 3,005.49 and 687.03 is: 1,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.71 : 3,005.49 = 687.03 : x
  2. Step 2: Convert to fraction form
    2,003.71/3,005.49 = 687.03/x
  3. Step 3: Cross multiply
    2,003.71x = 3,005.49 × 687.03
  4. Step 4: Simplify right side
    2,003.71x = 2,064,861.79
  5. Step 5: Solve for x
    x = 2,064,861.79/2,003.71
  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.