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Finding the Fourth Proportional to 1,600.23, 2,399.89 and 626.11

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Solution

The fourth proportional to 1,600.23, 2,399.89 and 626.11 is: 938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.23 : 2,399.89 = 626.11 : x
  2. Step 2: Convert to fraction form
    1,600.23/2,399.89 = 626.11/x
  3. Step 3: Cross multiply
    1,600.23x = 2,399.89 × 626.11
  4. Step 4: Simplify right side
    1,600.23x = 1,502,595.13
  5. Step 5: Solve for x
    x = 1,502,595.13/1,600.23
  6. Step 6: Final answer
    x = 938.99

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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.