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Finding the Fourth Proportional to 1,736.60, 2,604.84 and 438.02

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Solution

The fourth proportional to 1,736.60, 2,604.84 and 438.02 is: 657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.60 : 2,604.84 = 438.02 : x
  2. Step 2: Convert to fraction form
    1,736.60/2,604.84 = 438.02/x
  3. Step 3: Cross multiply
    1,736.60x = 2,604.84 × 438.02
  4. Step 4: Simplify right side
    1,736.60x = 1,140,972.02
  5. Step 5: Solve for x
    x = 1,140,972.02/1,736.60
  6. Step 6: Final answer
    x = 657.01

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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.