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Finding the Fourth Proportional to 2,913.35, 4,369.38 and 832.79

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Solution

The fourth proportional to 2,913.35, 4,369.38 and 832.79 is: 1,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.35 : 4,369.38 = 832.79 : x
  2. Step 2: Convert to fraction form
    2,913.35/4,369.38 = 832.79/x
  3. Step 3: Cross multiply
    2,913.35x = 4,369.38 × 832.79
  4. Step 4: Simplify right side
    2,913.35x = 3,638,754.12
  5. Step 5: Solve for x
    x = 3,638,754.12/2,913.35
  6. Step 6: Final answer
    x = 1,249.00

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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.