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Finding the Fourth Proportional to 2,296.29, 3,444.56 and 835.39

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Solution

The fourth proportional to 2,296.29, 3,444.56 and 835.39 is: 1,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.29 : 3,444.56 = 835.39 : x
  2. Step 2: Convert to fraction form
    2,296.29/3,444.56 = 835.39/x
  3. Step 3: Cross multiply
    2,296.29x = 3,444.56 × 835.39
  4. Step 4: Simplify right side
    2,296.29x = 2,877,554.24
  5. Step 5: Solve for x
    x = 2,877,554.24/2,296.29
  6. Step 6: Final answer
    x = 1,253.13

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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.