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Finding the Fourth Proportional to 1,475.25, 2,021.12 and 1,419.90

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Solution

The fourth proportional to 1,475.25, 2,021.12 and 1,419.90 is: 1,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.25 : 2,021.12 = 1,419.90 : x
  2. Step 2: Convert to fraction form
    1,475.25/2,021.12 = 1,419.90/x
  3. Step 3: Cross multiply
    1,475.25x = 2,021.12 × 1,419.90
  4. Step 4: Simplify right side
    1,475.25x = 2,869,781.19
  5. Step 5: Solve for x
    x = 2,869,781.19/1,475.25
  6. Step 6: Final answer
    x = 1,945.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.