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Finding the Fourth Proportional to 2,823.58, 4,234.56 and 1,854.82

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Solution

The fourth proportional to 2,823.58, 4,234.56 and 1,854.82 is: 2,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.58 : 4,234.56 = 1,854.82 : x
  2. Step 2: Convert to fraction form
    2,823.58/4,234.56 = 1,854.82/x
  3. Step 3: Cross multiply
    2,823.58x = 4,234.56 × 1,854.82
  4. Step 4: Simplify right side
    2,823.58x = 7,854,346.58
  5. Step 5: Solve for x
    x = 7,854,346.58/2,823.58
  6. Step 6: Final answer
    x = 2,781.70

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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.