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Finding the Fourth Proportional to 2,830.59, 3,906.46 and 1,652.04

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Solution

The fourth proportional to 2,830.59, 3,906.46 and 1,652.04 is: 2,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.59 : 3,906.46 = 1,652.04 : x
  2. Step 2: Convert to fraction form
    2,830.59/3,906.46 = 1,652.04/x
  3. Step 3: Cross multiply
    2,830.59x = 3,906.46 × 1,652.04
  4. Step 4: Simplify right side
    2,830.59x = 6,453,630.24
  5. Step 5: Solve for x
    x = 6,453,630.24/2,830.59
  6. Step 6: Final answer
    x = 2,279.96

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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.