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Finding the Fourth Proportional to 3,071.50, 4,239.03 and 1,829.50

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Solution

The fourth proportional to 3,071.50, 4,239.03 and 1,829.50 is: 2,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.50 : 4,239.03 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    3,071.50/4,239.03 = 1,829.50/x
  3. Step 3: Cross multiply
    3,071.50x = 4,239.03 × 1,829.50
  4. Step 4: Simplify right side
    3,071.50x = 7,755,305.39
  5. Step 5: Solve for x
    x = 7,755,305.39/3,071.50
  6. Step 6: Final answer
    x = 2,524.92

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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.