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Finding the Fourth Proportional to 2,466.63, 3,404.25 and 1,582.11

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Solution

The fourth proportional to 2,466.63, 3,404.25 and 1,582.11 is: 2,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.63 : 3,404.25 = 1,582.11 : x
  2. Step 2: Convert to fraction form
    2,466.63/3,404.25 = 1,582.11/x
  3. Step 3: Cross multiply
    2,466.63x = 3,404.25 × 1,582.11
  4. Step 4: Simplify right side
    2,466.63x = 5,385,897.97
  5. Step 5: Solve for x
    x = 5,385,897.97/2,466.63
  6. Step 6: Final answer
    x = 2,183.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.