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Finding the Fourth Proportional to 2,364.69, 3,546.59 and 1,389.66

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Solution

The fourth proportional to 2,364.69, 3,546.59 and 1,389.66 is: 2,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.69 : 3,546.59 = 1,389.66 : x
  2. Step 2: Convert to fraction form
    2,364.69/3,546.59 = 1,389.66/x
  3. Step 3: Cross multiply
    2,364.69x = 3,546.59 × 1,389.66
  4. Step 4: Simplify right side
    2,364.69x = 4,928,534.01
  5. Step 5: Solve for x
    x = 4,928,534.01/2,364.69
  6. Step 6: Final answer
    x = 2,084.22

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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.