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Finding the Fourth Proportional to 1,736.64, 2,395.76 and 1,177.60

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Solution

The fourth proportional to 1,736.64, 2,395.76 and 1,177.60 is: 1,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.64 : 2,395.76 = 1,177.60 : x
  2. Step 2: Convert to fraction form
    1,736.64/2,395.76 = 1,177.60/x
  3. Step 3: Cross multiply
    1,736.64x = 2,395.76 × 1,177.60
  4. Step 4: Simplify right side
    1,736.64x = 2,821,246.98
  5. Step 5: Solve for x
    x = 2,821,246.98/1,736.64
  6. Step 6: Final answer
    x = 1,624.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.