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Finding the Fourth Proportional to 2,661.74, 3,673.03 and 1,466.63

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Solution

The fourth proportional to 2,661.74, 3,673.03 and 1,466.63 is: 2,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.74 : 3,673.03 = 1,466.63 : x
  2. Step 2: Convert to fraction form
    2,661.74/3,673.03 = 1,466.63/x
  3. Step 3: Cross multiply
    2,661.74x = 3,673.03 × 1,466.63
  4. Step 4: Simplify right side
    2,661.74x = 5,386,975.99
  5. Step 5: Solve for x
    x = 5,386,975.99/2,661.74
  6. Step 6: Final answer
    x = 2,023.86

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Why These Related Problems?

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