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Finding the Fourth Proportional to 1,610.84, 2,419.98 and 1,399.64

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Solution

The fourth proportional to 1,610.84, 2,419.98 and 1,399.64 is: 2,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.84 : 2,419.98 = 1,399.64 : x
  2. Step 2: Convert to fraction form
    1,610.84/2,419.98 = 1,399.64/x
  3. Step 3: Cross multiply
    1,610.84x = 2,419.98 × 1,399.64
  4. Step 4: Simplify right side
    1,610.84x = 3,387,100.81
  5. Step 5: Solve for x
    x = 3,387,100.81/1,610.84
  6. Step 6: Final answer
    x = 2,102.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.