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Finding the Fourth Proportional to 2,448.58, 3,672.84 and 599.70

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Solution

The fourth proportional to 2,448.58, 3,672.84 and 599.70 is: 899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.58 : 3,672.84 = 599.70 : x
  2. Step 2: Convert to fraction form
    2,448.58/3,672.84 = 599.70/x
  3. Step 3: Cross multiply
    2,448.58x = 3,672.84 × 599.70
  4. Step 4: Simplify right side
    2,448.58x = 2,202,602.15
  5. Step 5: Solve for x
    x = 2,202,602.15/2,448.58
  6. Step 6: Final answer
    x = 899.54

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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.