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Finding the Fourth Proportional to 2,373.26, 3,559.94 and 729.82

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Solution

The fourth proportional to 2,373.26, 3,559.94 and 729.82 is: 1,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.26 : 3,559.94 = 729.82 : x
  2. Step 2: Convert to fraction form
    2,373.26/3,559.94 = 729.82/x
  3. Step 3: Cross multiply
    2,373.26x = 3,559.94 × 729.82
  4. Step 4: Simplify right side
    2,373.26x = 2,598,097.61
  5. Step 5: Solve for x
    x = 2,598,097.61/2,373.26
  6. Step 6: Final answer
    x = 1,094.74

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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.