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Finding the Fourth Proportional to 4,582.75, 6,874.13 and 1,661.06

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Solution

The fourth proportional to 4,582.75, 6,874.13 and 1,661.06 is: 2,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.75 : 6,874.13 = 1,661.06 : x
  2. Step 2: Convert to fraction form
    4,582.75/6,874.13 = 1,661.06/x
  3. Step 3: Cross multiply
    4,582.75x = 6,874.13 × 1,661.06
  4. Step 4: Simplify right side
    4,582.75x = 11,418,316.89
  5. Step 5: Solve for x
    x = 11,418,316.89/4,582.75
  6. Step 6: Final answer
    x = 2,491.59

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Why These Related Problems?

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