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Finding the Fourth Proportional to 2,448.02, 3,672 and 599.14

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Solution

The fourth proportional to 2,448.02, 3,672 and 599.14 is: 898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.02 : 3,672 = 599.14 : x
  2. Step 2: Convert to fraction form
    2,448.02/3,672 = 599.14/x
  3. Step 3: Cross multiply
    2,448.02x = 3,672 × 599.14
  4. Step 4: Simplify right side
    2,448.02x = 2,200,032.90
  5. Step 5: Solve for x
    x = 2,200,032.90/2,448.02
  6. Step 6: Final answer
    x = 898.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.