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Finding the Fourth Proportional to 4,376.35, 6,565.50 and 1,602.97

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Solution

The fourth proportional to 4,376.35, 6,565.50 and 1,602.97 is: 2,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.35 : 6,565.50 = 1,602.97 : x
  2. Step 2: Convert to fraction form
    4,376.35/6,565.50 = 1,602.97/x
  3. Step 3: Cross multiply
    4,376.35x = 6,565.50 × 1,602.97
  4. Step 4: Simplify right side
    4,376.35x = 10,524,299.54
  5. Step 5: Solve for x
    x = 10,524,299.54/4,376.35
  6. Step 6: Final answer
    x = 2,404.81

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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.