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Finding the Fourth Proportional to 1,462.15, 2,017.76 and 789.95

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Solution

The fourth proportional to 1,462.15, 2,017.76 and 789.95 is: 1,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.15 : 2,017.76 = 789.95 : x
  2. Step 2: Convert to fraction form
    1,462.15/2,017.76 = 789.95/x
  3. Step 3: Cross multiply
    1,462.15x = 2,017.76 × 789.95
  4. Step 4: Simplify right side
    1,462.15x = 1,593,930.50
  5. Step 5: Solve for x
    x = 1,593,930.50/1,462.15
  6. Step 6: Final answer
    x = 1,090.13

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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.