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Finding the Fourth Proportional to 2,447.60, 3,671.44 and 598.72

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Solution

The fourth proportional to 2,447.60, 3,671.44 and 598.72 is: 898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.60 : 3,671.44 = 598.72 : x
  2. Step 2: Convert to fraction form
    2,447.60/3,671.44 = 598.72/x
  3. Step 3: Cross multiply
    2,447.60x = 3,671.44 × 598.72
  4. Step 4: Simplify right side
    2,447.60x = 2,198,164.56
  5. Step 5: Solve for x
    x = 2,198,164.56/2,447.60
  6. Step 6: Final answer
    x = 898.09

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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.