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Finding the Fourth Proportional to 2,713.06, 3,747.08 and 1,827.32

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Solution

The fourth proportional to 2,713.06, 3,747.08 and 1,827.32 is: 2,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.06 : 3,747.08 = 1,827.32 : x
  2. Step 2: Convert to fraction form
    2,713.06/3,747.08 = 1,827.32/x
  3. Step 3: Cross multiply
    2,713.06x = 3,747.08 × 1,827.32
  4. Step 4: Simplify right side
    2,713.06x = 6,847,114.23
  5. Step 5: Solve for x
    x = 6,847,114.23/2,713.06
  6. Step 6: Final answer
    x = 2,523.76

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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.