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Finding the Fourth Proportional to 1,453.64, 2,174.70 and 1,043.60

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Solution

The fourth proportional to 1,453.64, 2,174.70 and 1,043.60 is: 1,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.64 : 2,174.70 = 1,043.60 : x
  2. Step 2: Convert to fraction form
    1,453.64/2,174.70 = 1,043.60/x
  3. Step 3: Cross multiply
    1,453.64x = 2,174.70 × 1,043.60
  4. Step 4: Simplify right side
    1,453.64x = 2,269,516.92
  5. Step 5: Solve for x
    x = 2,269,516.92/1,453.64
  6. Step 6: Final answer
    x = 1,561.26

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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.