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Finding the Fourth Proportional to 2,299.16, 3,446.60 and 837.98

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Solution

The fourth proportional to 2,299.16, 3,446.60 and 837.98 is: 1,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.16 : 3,446.60 = 837.98 : x
  2. Step 2: Convert to fraction form
    2,299.16/3,446.60 = 837.98/x
  3. Step 3: Cross multiply
    2,299.16x = 3,446.60 × 837.98
  4. Step 4: Simplify right side
    2,299.16x = 2,888,160.45
  5. Step 5: Solve for x
    x = 2,888,160.45/2,299.16
  6. Step 6: Final answer
    x = 1,256.18

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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.