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Finding the Fourth Proportional to 4,270.63, 6,404.55 and 1,637.99

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Solution

The fourth proportional to 4,270.63, 6,404.55 and 1,637.99 is: 2,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.63 : 6,404.55 = 1,637.99 : x
  2. Step 2: Convert to fraction form
    4,270.63/6,404.55 = 1,637.99/x
  3. Step 3: Cross multiply
    4,270.63x = 6,404.55 × 1,637.99
  4. Step 4: Simplify right side
    4,270.63x = 10,490,588.85
  5. Step 5: Solve for x
    x = 10,490,588.85/4,270.63
  6. Step 6: Final answer
    x = 2,456.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.