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Finding the Fourth Proportional to 2,661.65, 3,673.16 and 1,466.75

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Solution

The fourth proportional to 2,661.65, 3,673.16 and 1,466.75 is: 2,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.65 : 3,673.16 = 1,466.75 : x
  2. Step 2: Convert to fraction form
    2,661.65/3,673.16 = 1,466.75/x
  3. Step 3: Cross multiply
    2,661.65x = 3,673.16 × 1,466.75
  4. Step 4: Simplify right side
    2,661.65x = 5,387,609.28
  5. Step 5: Solve for x
    x = 5,387,609.28/2,661.65
  6. Step 6: Final answer
    x = 2,024.16

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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.