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Finding the Fourth Proportional to 3,242.74, 4,474.83 and 1,826.44

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Solution

The fourth proportional to 3,242.74, 4,474.83 and 1,826.44 is: 2,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.74 : 4,474.83 = 1,826.44 : x
  2. Step 2: Convert to fraction form
    3,242.74/4,474.83 = 1,826.44/x
  3. Step 3: Cross multiply
    3,242.74x = 4,474.83 × 1,826.44
  4. Step 4: Simplify right side
    3,242.74x = 8,173,008.51
  5. Step 5: Solve for x
    x = 8,173,008.51/3,242.74
  6. Step 6: Final answer
    x = 2,520.40

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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.