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Finding the Fourth Proportional to 1,918.70, 2,876.47 and 994.52

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Solution

The fourth proportional to 1,918.70, 2,876.47 and 994.52 is: 1,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.70 : 2,876.47 = 994.52 : x
  2. Step 2: Convert to fraction form
    1,918.70/2,876.47 = 994.52/x
  3. Step 3: Cross multiply
    1,918.70x = 2,876.47 × 994.52
  4. Step 4: Simplify right side
    1,918.70x = 2,860,706.94
  5. Step 5: Solve for x
    x = 2,860,706.94/1,918.70
  6. Step 6: Final answer
    x = 1,490.96

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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.