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Finding the Fourth Proportional to 4,582.05, 6,876.72 and 1,661.19

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Solution

The fourth proportional to 4,582.05, 6,876.72 and 1,661.19 is: 2,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.05 : 6,876.72 = 1,661.19 : x
  2. Step 2: Convert to fraction form
    4,582.05/6,876.72 = 1,661.19/x
  3. Step 3: Cross multiply
    4,582.05x = 6,876.72 × 1,661.19
  4. Step 4: Simplify right side
    4,582.05x = 11,423,538.50
  5. Step 5: Solve for x
    x = 11,423,538.50/4,582.05
  6. Step 6: Final answer
    x = 2,493.11

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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.