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Finding the Fourth Proportional to 1,669.19, 2,503.41 and 629.23

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Solution

The fourth proportional to 1,669.19, 2,503.41 and 629.23 is: 943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.19 : 2,503.41 = 629.23 : x
  2. Step 2: Convert to fraction form
    1,669.19/2,503.41 = 629.23/x
  3. Step 3: Cross multiply
    1,669.19x = 2,503.41 × 629.23
  4. Step 4: Simplify right side
    1,669.19x = 1,575,209.71
  5. Step 5: Solve for x
    x = 1,575,209.71/1,669.19
  6. Step 6: Final answer
    x = 943.70

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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.