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Finding the Fourth Proportional to 1,341.05, 1,850.60 and 781.54

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Solution

The fourth proportional to 1,341.05, 1,850.60 and 781.54 is: 1,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.05 : 1,850.60 = 781.54 : x
  2. Step 2: Convert to fraction form
    1,341.05/1,850.60 = 781.54/x
  3. Step 3: Cross multiply
    1,341.05x = 1,850.60 × 781.54
  4. Step 4: Simplify right side
    1,341.05x = 1,446,304.76
  5. Step 5: Solve for x
    x = 1,446,304.76/1,341.05
  6. Step 6: Final answer
    x = 1,078.49

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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.