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Finding the Fourth Proportional to 1,409.90, 2,114.85 and 996.80

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Solution

The fourth proportional to 1,409.90, 2,114.85 and 996.80 is: 1,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.90 : 2,114.85 = 996.80 : x
  2. Step 2: Convert to fraction form
    1,409.90/2,114.85 = 996.80/x
  3. Step 3: Cross multiply
    1,409.90x = 2,114.85 × 996.80
  4. Step 4: Simplify right side
    1,409.90x = 2,108,082.48
  5. Step 5: Solve for x
    x = 2,108,082.48/1,409.90
  6. Step 6: Final answer
    x = 1,495.20

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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.