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Finding the Fourth Proportional to 1,252.10, 1,878.24 and 674.84

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Solution

The fourth proportional to 1,252.10, 1,878.24 and 674.84 is: 1,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.10 : 1,878.24 = 674.84 : x
  2. Step 2: Convert to fraction form
    1,252.10/1,878.24 = 674.84/x
  3. Step 3: Cross multiply
    1,252.10x = 1,878.24 × 674.84
  4. Step 4: Simplify right side
    1,252.10x = 1,267,511.48
  5. Step 5: Solve for x
    x = 1,267,511.48/1,252.10
  6. Step 6: Final answer
    x = 1,012.31

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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.