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Finding the Fourth Proportional to 4,001.54, 6,002.24 and 1,662.80

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Solution

The fourth proportional to 4,001.54, 6,002.24 and 1,662.80 is: 2,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.54 : 6,002.24 = 1,662.80 : x
  2. Step 2: Convert to fraction form
    4,001.54/6,002.24 = 1,662.80/x
  3. Step 3: Cross multiply
    4,001.54x = 6,002.24 × 1,662.80
  4. Step 4: Simplify right side
    4,001.54x = 9,980,486.35
  5. Step 5: Solve for x
    x = 9,980,486.35/4,001.54
  6. Step 6: Final answer
    x = 2,494.16

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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.