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Finding the Fourth Proportional to 1,278.43, 1,765.43 and 1,209.40

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Solution

The fourth proportional to 1,278.43, 1,765.43 and 1,209.40 is: 1,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.43 : 1,765.43 = 1,209.40 : x
  2. Step 2: Convert to fraction form
    1,278.43/1,765.43 = 1,209.40/x
  3. Step 3: Cross multiply
    1,278.43x = 1,765.43 × 1,209.40
  4. Step 4: Simplify right side
    1,278.43x = 2,135,111.04
  5. Step 5: Solve for x
    x = 2,135,111.04/1,278.43
  6. Step 6: Final answer
    x = 1,670.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.