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Finding the Fourth Proportional to 2,359.81, 3,257.42 and 2,026.90

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Solution

The fourth proportional to 2,359.81, 3,257.42 and 2,026.90 is: 2,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.81 : 3,257.42 = 2,026.90 : x
  2. Step 2: Convert to fraction form
    2,359.81/3,257.42 = 2,026.90/x
  3. Step 3: Cross multiply
    2,359.81x = 3,257.42 × 2,026.90
  4. Step 4: Simplify right side
    2,359.81x = 6,602,464.60
  5. Step 5: Solve for x
    x = 6,602,464.60/2,359.81
  6. Step 6: Final answer
    x = 2,797.88

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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.