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Finding the Fourth Proportional to 2,437.48, 3,653.98 and 793.18

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Solution

The fourth proportional to 2,437.48, 3,653.98 and 793.18 is: 1,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.48 : 3,653.98 = 793.18 : x
  2. Step 2: Convert to fraction form
    2,437.48/3,653.98 = 793.18/x
  3. Step 3: Cross multiply
    2,437.48x = 3,653.98 × 793.18
  4. Step 4: Simplify right side
    2,437.48x = 2,898,266.44
  5. Step 5: Solve for x
    x = 2,898,266.44/2,437.48
  6. Step 6: Final answer
    x = 1,189.04

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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.