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Finding the Fourth Proportional to 2,448.05, 3,672 and 599.17

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Solution

The fourth proportional to 2,448.05, 3,672 and 599.17 is: 898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.05 : 3,672 = 599.17 : x
  2. Step 2: Convert to fraction form
    2,448.05/3,672 = 599.17/x
  3. Step 3: Cross multiply
    2,448.05x = 3,672 × 599.17
  4. Step 4: Simplify right side
    2,448.05x = 2,200,152.24
  5. Step 5: Solve for x
    x = 2,200,152.24/2,448.05
  6. Step 6: Final answer
    x = 898.74

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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.