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Finding the Fourth Proportional to 2,298.20, 3,447.83 and 837.36

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Solution

The fourth proportional to 2,298.20, 3,447.83 and 837.36 is: 1,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.20 : 3,447.83 = 837.36 : x
  2. Step 2: Convert to fraction form
    2,298.20/3,447.83 = 837.36/x
  3. Step 3: Cross multiply
    2,298.20x = 3,447.83 × 837.36
  4. Step 4: Simplify right side
    2,298.20x = 2,887,077.02
  5. Step 5: Solve for x
    x = 2,887,077.02/2,298.20
  6. Step 6: Final answer
    x = 1,256.24

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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.