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Finding the Fourth Proportional to 4,924.60, 7,385.10 and 1,460.68

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Solution

The fourth proportional to 4,924.60, 7,385.10 and 1,460.68 is: 2,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.60 : 7,385.10 = 1,460.68 : x
  2. Step 2: Convert to fraction form
    4,924.60/7,385.10 = 1,460.68/x
  3. Step 3: Cross multiply
    4,924.60x = 7,385.10 × 1,460.68
  4. Step 4: Simplify right side
    4,924.60x = 10,787,267.87
  5. Step 5: Solve for x
    x = 10,787,267.87/4,924.60
  6. Step 6: Final answer
    x = 2,190.49

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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.