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Finding the Fourth Proportional to 4,641.66, 6,966.60 and 2,451.90

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Solution

The fourth proportional to 4,641.66, 6,966.60 and 2,451.90 is: 3,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.66 : 6,966.60 = 2,451.90 : x
  2. Step 2: Convert to fraction form
    4,641.66/6,966.60 = 2,451.90/x
  3. Step 3: Cross multiply
    4,641.66x = 6,966.60 × 2,451.90
  4. Step 4: Simplify right side
    4,641.66x = 17,081,406.54
  5. Step 5: Solve for x
    x = 17,081,406.54/4,641.66
  6. Step 6: Final answer
    x = 3,680.02

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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.