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Finding the Fourth Proportional to 2,876.76, 3,969.72 and 1,617.84

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Solution

The fourth proportional to 2,876.76, 3,969.72 and 1,617.84 is: 2,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.76 : 3,969.72 = 1,617.84 : x
  2. Step 2: Convert to fraction form
    2,876.76/3,969.72 = 1,617.84/x
  3. Step 3: Cross multiply
    2,876.76x = 3,969.72 × 1,617.84
  4. Step 4: Simplify right side
    2,876.76x = 6,422,371.80
  5. Step 5: Solve for x
    x = 6,422,371.80/2,876.76
  6. Step 6: Final answer
    x = 2,232.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.