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Finding the Fourth Proportional to 2,394.06, 3,591.71 and 933.63

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Solution

The fourth proportional to 2,394.06, 3,591.71 and 933.63 is: 1,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.06 : 3,591.71 = 933.63 : x
  2. Step 2: Convert to fraction form
    2,394.06/3,591.71 = 933.63/x
  3. Step 3: Cross multiply
    2,394.06x = 3,591.71 × 933.63
  4. Step 4: Simplify right side
    2,394.06x = 3,353,323.54
  5. Step 5: Solve for x
    x = 3,353,323.54/2,394.06
  6. Step 6: Final answer
    x = 1,400.68

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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.