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Finding the Fourth Proportional to 2,432.08, 3,648.65 and 788.59

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Solution

The fourth proportional to 2,432.08, 3,648.65 and 788.59 is: 1,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.08 : 3,648.65 = 788.59 : x
  2. Step 2: Convert to fraction form
    2,432.08/3,648.65 = 788.59/x
  3. Step 3: Cross multiply
    2,432.08x = 3,648.65 × 788.59
  4. Step 4: Simplify right side
    2,432.08x = 2,877,269.00
  5. Step 5: Solve for x
    x = 2,877,269.00/2,432.08
  6. Step 6: Final answer
    x = 1,183.05

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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.