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Finding the Fourth Proportional to 2,857.76, 4,285.45 and 1,008.04

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Solution

The fourth proportional to 2,857.76, 4,285.45 and 1,008.04 is: 1,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.76 : 4,285.45 = 1,008.04 : x
  2. Step 2: Convert to fraction form
    2,857.76/4,285.45 = 1,008.04/x
  3. Step 3: Cross multiply
    2,857.76x = 4,285.45 × 1,008.04
  4. Step 4: Simplify right side
    2,857.76x = 4,319,899.98
  5. Step 5: Solve for x
    x = 4,319,899.98/2,857.76
  6. Step 6: Final answer
    x = 1,511.64

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Why These Related Problems?

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