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Finding the Fourth Proportional to 2,707.56, 3,733.07 and 2,237.35

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Solution

The fourth proportional to 2,707.56, 3,733.07 and 2,237.35 is: 3,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.56 : 3,733.07 = 2,237.35 : x
  2. Step 2: Convert to fraction form
    2,707.56/3,733.07 = 2,237.35/x
  3. Step 3: Cross multiply
    2,707.56x = 3,733.07 × 2,237.35
  4. Step 4: Simplify right side
    2,707.56x = 8,352,184.16
  5. Step 5: Solve for x
    x = 8,352,184.16/2,707.56
  6. Step 6: Final answer
    x = 3,084.76

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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.