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Finding the Fourth Proportional to 1,928.16, 2,892.53 and 629.32

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Solution

The fourth proportional to 1,928.16, 2,892.53 and 629.32 is: 944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.16 : 2,892.53 = 629.32 : x
  2. Step 2: Convert to fraction form
    1,928.16/2,892.53 = 629.32/x
  3. Step 3: Cross multiply
    1,928.16x = 2,892.53 × 629.32
  4. Step 4: Simplify right side
    1,928.16x = 1,820,326.98
  5. Step 5: Solve for x
    x = 1,820,326.98/1,928.16
  6. Step 6: Final answer
    x = 944.07

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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.