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Finding the Fourth Proportional to 2,394.16, 3,591.46 and 933.42

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Solution

The fourth proportional to 2,394.16, 3,591.46 and 933.42 is: 1,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.16 : 3,591.46 = 933.42 : x
  2. Step 2: Convert to fraction form
    2,394.16/3,591.46 = 933.42/x
  3. Step 3: Cross multiply
    2,394.16x = 3,591.46 × 933.42
  4. Step 4: Simplify right side
    2,394.16x = 3,352,340.59
  5. Step 5: Solve for x
    x = 3,352,340.59/2,394.16
  6. Step 6: Final answer
    x = 1,400.22

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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.