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Finding the Fourth Proportional to 2,299.03, 3,446.41 and 837.85

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Solution

The fourth proportional to 2,299.03, 3,446.41 and 837.85 is: 1,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.03 : 3,446.41 = 837.85 : x
  2. Step 2: Convert to fraction form
    2,299.03/3,446.41 = 837.85/x
  3. Step 3: Cross multiply
    2,299.03x = 3,446.41 × 837.85
  4. Step 4: Simplify right side
    2,299.03x = 2,887,574.62
  5. Step 5: Solve for x
    x = 2,887,574.62/2,299.03
  6. Step 6: Final answer
    x = 1,256.00

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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.