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Finding the Fourth Proportional to 2,830.35, 4,245.53 and 882.56

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Solution

The fourth proportional to 2,830.35, 4,245.53 and 882.56 is: 1,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.35 : 4,245.53 = 882.56 : x
  2. Step 2: Convert to fraction form
    2,830.35/4,245.53 = 882.56/x
  3. Step 3: Cross multiply
    2,830.35x = 4,245.53 × 882.56
  4. Step 4: Simplify right side
    2,830.35x = 3,746,909.32
  5. Step 5: Solve for x
    x = 3,746,909.32/2,830.35
  6. Step 6: Final answer
    x = 1,323.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.