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Finding the Fourth Proportional to 2,296.76, 3,447.02 and 837

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Solution

The fourth proportional to 2,296.76, 3,447.02 and 837 is: 1,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.76 : 3,447.02 = 837 : x
  2. Step 2: Convert to fraction form
    2,296.76/3,447.02 = 837/x
  3. Step 3: Cross multiply
    2,296.76x = 3,447.02 × 837
  4. Step 4: Simplify right side
    2,296.76x = 2,885,155.74
  5. Step 5: Solve for x
    x = 2,885,155.74/2,296.76
  6. Step 6: Final answer
    x = 1,256.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.