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Finding the Fourth Proportional to 2,543.70, 3,507.22 and 1,976.70

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Solution

The fourth proportional to 2,543.70, 3,507.22 and 1,976.70 is: 2,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.70 : 3,507.22 = 1,976.70 : x
  2. Step 2: Convert to fraction form
    2,543.70/3,507.22 = 1,976.70/x
  3. Step 3: Cross multiply
    2,543.70x = 3,507.22 × 1,976.70
  4. Step 4: Simplify right side
    2,543.70x = 6,932,721.77
  5. Step 5: Solve for x
    x = 6,932,721.77/2,543.70
  6. Step 6: Final answer
    x = 2,725.45

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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.