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Finding the Fourth Proportional to 1,814.52, 2,504.04 and 986.52

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Solution

The fourth proportional to 1,814.52, 2,504.04 and 986.52 is: 1,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.52 : 2,504.04 = 986.52 : x
  2. Step 2: Convert to fraction form
    1,814.52/2,504.04 = 986.52/x
  3. Step 3: Cross multiply
    1,814.52x = 2,504.04 × 986.52
  4. Step 4: Simplify right side
    1,814.52x = 2,470,285.54
  5. Step 5: Solve for x
    x = 2,470,285.54/1,814.52
  6. Step 6: Final answer
    x = 1,361.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.