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Finding the Fourth Proportional to 2,976.82, 4,098.65 and 2,527.74

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Solution

The fourth proportional to 2,976.82, 4,098.65 and 2,527.74 is: 3,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.82 : 4,098.65 = 2,527.74 : x
  2. Step 2: Convert to fraction form
    2,976.82/4,098.65 = 2,527.74/x
  3. Step 3: Cross multiply
    2,976.82x = 4,098.65 × 2,527.74
  4. Step 4: Simplify right side
    2,976.82x = 10,360,323.13
  5. Step 5: Solve for x
    x = 10,360,323.13/2,976.82
  6. Step 6: Final answer
    x = 3,480.34

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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.