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Finding the Fourth Proportional to 1,598.80, 2,206 and 1,076.32

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Solution

The fourth proportional to 1,598.80, 2,206 and 1,076.32 is: 1,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.80 : 2,206 = 1,076.32 : x
  2. Step 2: Convert to fraction form
    1,598.80/2,206 = 1,076.32/x
  3. Step 3: Cross multiply
    1,598.80x = 2,206 × 1,076.32
  4. Step 4: Simplify right side
    1,598.80x = 2,374,361.92
  5. Step 5: Solve for x
    x = 2,374,361.92/1,598.80
  6. Step 6: Final answer
    x = 1,485.09

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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.