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Finding the Fourth Proportional to 2,857.34, 4,284.21 and 1,605.95

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Solution

The fourth proportional to 2,857.34, 4,284.21 and 1,605.95 is: 2,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.34 : 4,284.21 = 1,605.95 : x
  2. Step 2: Convert to fraction form
    2,857.34/4,284.21 = 1,605.95/x
  3. Step 3: Cross multiply
    2,857.34x = 4,284.21 × 1,605.95
  4. Step 4: Simplify right side
    2,857.34x = 6,880,227.05
  5. Step 5: Solve for x
    x = 6,880,227.05/2,857.34
  6. Step 6: Final answer
    x = 2,407.91

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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.