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Finding the Fourth Proportional to 2,348.91, 3,523.32 and 788.92

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Solution

The fourth proportional to 2,348.91, 3,523.32 and 788.92 is: 1,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.91 : 3,523.32 = 788.92 : x
  2. Step 2: Convert to fraction form
    2,348.91/3,523.32 = 788.92/x
  3. Step 3: Cross multiply
    2,348.91x = 3,523.32 × 788.92
  4. Step 4: Simplify right side
    2,348.91x = 2,779,608.81
  5. Step 5: Solve for x
    x = 2,779,608.81/2,348.91
  6. Step 6: Final answer
    x = 1,183.36

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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.