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Finding the Fourth Proportional to 2,690.44, 3,713.84 and 2,410.20

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Solution

The fourth proportional to 2,690.44, 3,713.84 and 2,410.20 is: 3,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.44 : 3,713.84 = 2,410.20 : x
  2. Step 2: Convert to fraction form
    2,690.44/3,713.84 = 2,410.20/x
  3. Step 3: Cross multiply
    2,690.44x = 3,713.84 × 2,410.20
  4. Step 4: Simplify right side
    2,690.44x = 8,951,097.17
  5. Step 5: Solve for x
    x = 8,951,097.17/2,690.44
  6. Step 6: Final answer
    x = 3,327.00

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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.