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Finding the Fourth Proportional to 2,437.05, 3,655.88 and 793.16

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Solution

The fourth proportional to 2,437.05, 3,655.88 and 793.16 is: 1,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.05 : 3,655.88 = 793.16 : x
  2. Step 2: Convert to fraction form
    2,437.05/3,655.88 = 793.16/x
  3. Step 3: Cross multiply
    2,437.05x = 3,655.88 × 793.16
  4. Step 4: Simplify right side
    2,437.05x = 2,899,675.54
  5. Step 5: Solve for x
    x = 2,899,675.54/2,437.05
  6. Step 6: Final answer
    x = 1,189.83

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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.