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Finding the Fourth Proportional to 3,259.44, 4,890.12 and 1,409.64

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Solution

The fourth proportional to 3,259.44, 4,890.12 and 1,409.64 is: 2,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.44 : 4,890.12 = 1,409.64 : x
  2. Step 2: Convert to fraction form
    3,259.44/4,890.12 = 1,409.64/x
  3. Step 3: Cross multiply
    3,259.44x = 4,890.12 × 1,409.64
  4. Step 4: Simplify right side
    3,259.44x = 6,893,308.76
  5. Step 5: Solve for x
    x = 6,893,308.76/3,259.44
  6. Step 6: Final answer
    x = 2,114.88

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1.5x scale

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.