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Finding the Fourth Proportional to 1,546.93, 2,316.21 and 1,132.93

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Solution

The fourth proportional to 1,546.93, 2,316.21 and 1,132.93 is: 1,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.93 : 2,316.21 = 1,132.93 : x
  2. Step 2: Convert to fraction form
    1,546.93/2,316.21 = 1,132.93/x
  3. Step 3: Cross multiply
    1,546.93x = 2,316.21 × 1,132.93
  4. Step 4: Simplify right side
    1,546.93x = 2,624,103.80
  5. Step 5: Solve for x
    x = 2,624,103.80/1,546.93
  6. Step 6: Final answer
    x = 1,696.33

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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.