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Finding the Fourth Proportional to 2,883.76, 3,979.60 and 1,641.76

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Solution

The fourth proportional to 2,883.76, 3,979.60 and 1,641.76 is: 2,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.76 : 3,979.60 = 1,641.76 : x
  2. Step 2: Convert to fraction form
    2,883.76/3,979.60 = 1,641.76/x
  3. Step 3: Cross multiply
    2,883.76x = 3,979.60 × 1,641.76
  4. Step 4: Simplify right side
    2,883.76x = 6,533,548.10
  5. Step 5: Solve for x
    x = 6,533,548.10/2,883.76
  6. Step 6: Final answer
    x = 2,265.64

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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.