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Finding the Fourth Proportional to 1,419.30, 1,958.13 and 859.95

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Solution

The fourth proportional to 1,419.30, 1,958.13 and 859.95 is: 1,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.30 : 1,958.13 = 859.95 : x
  2. Step 2: Convert to fraction form
    1,419.30/1,958.13 = 859.95/x
  3. Step 3: Cross multiply
    1,419.30x = 1,958.13 × 859.95
  4. Step 4: Simplify right side
    1,419.30x = 1,683,893.89
  5. Step 5: Solve for x
    x = 1,683,893.89/1,419.30
  6. Step 6: Final answer
    x = 1,186.43

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