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Finding the Fourth Proportional to 1,627.36, 2,441.12 and 473.12

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Solution

The fourth proportional to 1,627.36, 2,441.12 and 473.12 is: 709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.36 : 2,441.12 = 473.12 : x
  2. Step 2: Convert to fraction form
    1,627.36/2,441.12 = 473.12/x
  3. Step 3: Cross multiply
    1,627.36x = 2,441.12 × 473.12
  4. Step 4: Simplify right side
    1,627.36x = 1,154,942.69
  5. Step 5: Solve for x
    x = 1,154,942.69/1,627.36
  6. Step 6: Final answer
    x = 709.70

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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.