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Finding the Fourth Proportional to 2,296.36, 3,443.82 and 652.96

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Solution

The fourth proportional to 2,296.36, 3,443.82 and 652.96 is: 979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.36 : 3,443.82 = 652.96 : x
  2. Step 2: Convert to fraction form
    2,296.36/3,443.82 = 652.96/x
  3. Step 3: Cross multiply
    2,296.36x = 3,443.82 × 652.96
  4. Step 4: Simplify right side
    2,296.36x = 2,248,676.71
  5. Step 5: Solve for x
    x = 2,248,676.71/2,296.36
  6. Step 6: Final answer
    x = 979.24

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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.