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Finding the Fourth Proportional to 4,585.26, 6,873.74 and 1,661.50

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Solution

The fourth proportional to 4,585.26, 6,873.74 and 1,661.50 is: 2,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.26 : 6,873.74 = 1,661.50 : x
  2. Step 2: Convert to fraction form
    4,585.26/6,873.74 = 1,661.50/x
  3. Step 3: Cross multiply
    4,585.26x = 6,873.74 × 1,661.50
  4. Step 4: Simplify right side
    4,585.26x = 11,420,719.01
  5. Step 5: Solve for x
    x = 11,420,719.01/4,585.26
  6. Step 6: Final answer
    x = 2,490.75

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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.