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Finding the Fourth Proportional to 1,924.96, 2,887.42 and 464.10

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Solution

The fourth proportional to 1,924.96, 2,887.42 and 464.10 is: 696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.96 : 2,887.42 = 464.10 : x
  2. Step 2: Convert to fraction form
    1,924.96/2,887.42 = 464.10/x
  3. Step 3: Cross multiply
    1,924.96x = 2,887.42 × 464.10
  4. Step 4: Simplify right side
    1,924.96x = 1,340,057.68
  5. Step 5: Solve for x
    x = 1,340,057.68/1,924.96
  6. Step 6: Final answer
    x = 696.15

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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.