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Finding the Fourth Proportional to 1,682.81, 2,321.12 and 1,543.39

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Solution

The fourth proportional to 1,682.81, 2,321.12 and 1,543.39 is: 2,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.81 : 2,321.12 = 1,543.39 : x
  2. Step 2: Convert to fraction form
    1,682.81/2,321.12 = 1,543.39/x
  3. Step 3: Cross multiply
    1,682.81x = 2,321.12 × 1,543.39
  4. Step 4: Simplify right side
    1,682.81x = 3,582,393.40
  5. Step 5: Solve for x
    x = 3,582,393.40/1,682.81
  6. Step 6: Final answer
    x = 2,128.82

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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.