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Finding the Fourth Proportional to 2,966.86, 4,441.65 and 2,854.54

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Solution

The fourth proportional to 2,966.86, 4,441.65 and 2,854.54 is: 4,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.86 : 4,441.65 = 2,854.54 : x
  2. Step 2: Convert to fraction form
    2,966.86/4,441.65 = 2,854.54/x
  3. Step 3: Cross multiply
    2,966.86x = 4,441.65 × 2,854.54
  4. Step 4: Simplify right side
    2,966.86x = 12,678,867.59
  5. Step 5: Solve for x
    x = 12,678,867.59/2,966.86
  6. Step 6: Final answer
    x = 4,273.50

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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.