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Finding the Fourth Proportional to 1,404.36, 2,102.43 and 986.45

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Solution

The fourth proportional to 1,404.36, 2,102.43 and 986.45 is: 1,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.36 : 2,102.43 = 986.45 : x
  2. Step 2: Convert to fraction form
    1,404.36/2,102.43 = 986.45/x
  3. Step 3: Cross multiply
    1,404.36x = 2,102.43 × 986.45
  4. Step 4: Simplify right side
    1,404.36x = 2,073,931.56
  5. Step 5: Solve for x
    x = 2,073,931.56/1,404.36
  6. Step 6: Final answer
    x = 1,476.78

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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.