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Finding the Fourth Proportional to 2,296.24, 3,443.86 and 652.76

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Solution

The fourth proportional to 2,296.24, 3,443.86 and 652.76 is: 979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.24 : 3,443.86 = 652.76 : x
  2. Step 2: Convert to fraction form
    2,296.24/3,443.86 = 652.76/x
  3. Step 3: Cross multiply
    2,296.24x = 3,443.86 × 652.76
  4. Step 4: Simplify right side
    2,296.24x = 2,248,014.05
  5. Step 5: Solve for x
    x = 2,248,014.05/2,296.24
  6. Step 6: Final answer
    x = 979.00

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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.