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Finding the Fourth Proportional to 1,429.08, 2,146 and 884.73

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Solution

The fourth proportional to 1,429.08, 2,146 and 884.73 is: 1,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.08 : 2,146 = 884.73 : x
  2. Step 2: Convert to fraction form
    1,429.08/2,146 = 884.73/x
  3. Step 3: Cross multiply
    1,429.08x = 2,146 × 884.73
  4. Step 4: Simplify right side
    1,429.08x = 1,898,630.58
  5. Step 5: Solve for x
    x = 1,898,630.58/1,429.08
  6. Step 6: Final answer
    x = 1,328.57

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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.