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Finding the Fourth Proportional to 2,296.61, 3,444.84 and 736.59

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Solution

The fourth proportional to 2,296.61, 3,444.84 and 736.59 is: 1,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.61 : 3,444.84 = 736.59 : x
  2. Step 2: Convert to fraction form
    2,296.61/3,444.84 = 736.59/x
  3. Step 3: Cross multiply
    2,296.61x = 3,444.84 × 736.59
  4. Step 4: Simplify right side
    2,296.61x = 2,537,447.61
  5. Step 5: Solve for x
    x = 2,537,447.61/2,296.61
  6. Step 6: Final answer
    x = 1,104.87

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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.