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Finding the Fourth Proportional to 1,945.10, 2,917.64 and 629.95

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Solution

The fourth proportional to 1,945.10, 2,917.64 and 629.95 is: 944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.10 : 2,917.64 = 629.95 : x
  2. Step 2: Convert to fraction form
    1,945.10/2,917.64 = 629.95/x
  3. Step 3: Cross multiply
    1,945.10x = 2,917.64 × 629.95
  4. Step 4: Simplify right side
    1,945.10x = 1,837,967.32
  5. Step 5: Solve for x
    x = 1,837,967.32/1,945.10
  6. Step 6: Final answer
    x = 944.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.