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Finding the Fourth Proportional to 1,427.04, 2,138.49 and 604.18

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Solution

The fourth proportional to 1,427.04, 2,138.49 and 604.18 is: 905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.04 : 2,138.49 = 604.18 : x
  2. Step 2: Convert to fraction form
    1,427.04/2,138.49 = 604.18/x
  3. Step 3: Cross multiply
    1,427.04x = 2,138.49 × 604.18
  4. Step 4: Simplify right side
    1,427.04x = 1,292,032.89
  5. Step 5: Solve for x
    x = 1,292,032.89/1,427.04
  6. Step 6: Final answer
    x = 905.39

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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.