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Finding the Fourth Proportional to 3,008.50, 4,151.73 and 1,829.35

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Solution

The fourth proportional to 3,008.50, 4,151.73 and 1,829.35 is: 2,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.50 : 4,151.73 = 1,829.35 : x
  2. Step 2: Convert to fraction form
    3,008.50/4,151.73 = 1,829.35/x
  3. Step 3: Cross multiply
    3,008.50x = 4,151.73 × 1,829.35
  4. Step 4: Simplify right side
    3,008.50x = 7,594,967.28
  5. Step 5: Solve for x
    x = 7,594,967.28/3,008.50
  6. Step 6: Final answer
    x = 2,524.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.