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Finding the Fourth Proportional to 2,874.33, 4,307.85 and 1,833.98

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Solution

The fourth proportional to 2,874.33, 4,307.85 and 1,833.98 is: 2,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.33 : 4,307.85 = 1,833.98 : x
  2. Step 2: Convert to fraction form
    2,874.33/4,307.85 = 1,833.98/x
  3. Step 3: Cross multiply
    2,874.33x = 4,307.85 × 1,833.98
  4. Step 4: Simplify right side
    2,874.33x = 7,900,489.20
  5. Step 5: Solve for x
    x = 7,900,489.20/2,874.33
  6. Step 6: Final answer
    x = 2,748.64

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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.